SECOND QUARTER’s
PERFORMANCE TASK:
SPECIAL PRODUCTS
ICL: Showcase of Solution and Final Answer
Group Name: CYCLOID
Second Quarter Grade 8 Mathematics Performance Task Special Products 2
Krystal Mizona
Dustine Villa
John Torres
Krystal Mizona
Second Quarter Grade 8 Mathematics Performance Task Special Products 3
Insert Picture
Here
Square of
a Binomial
Product of
SDTT
Square of
Trinomial
Product of
a Binomial
& a
Trinomial
Cube of a
Binomial
Name:
SQUARE OF A BINOMIAL
● EASY QUESTION:
● (4 + b)
SOLUTION:
(4)2 + 2(4 + b) + (b)2
ANSWER:
16 + 8b + b2
E A C
Square of
a Binomial
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and a
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Second Quarter Grade 8 Mathematics Performance Task Special Products
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Name:
SQUARE OF A BINOMIAL
● AVERAGE QUESTION:
● (13y + 32x)
SOLUTION:
(13y)2 + 2(13y + 32x) + (32x)2
ANSWER:
169y2 + 832yx + 1024x2
E A C
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and a
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Second Quarter Grade 8 Mathematics Performance Task Special Products
5
Name:
SQUARE OF A BINOMIAL
● CHALLENGING QUESTION:
(33y3 + 21k2)
SOLUTION:
(33y3)2 + 2(33y3 + 21k2) + (21k2)2
ANSWER:
1089y6 + 1386y3k2 + 441k4
E A C
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a Binomial
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and a
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Second Quarter Grade 8 Mathematics Performance Task Special Products
6
Name:
Product of Sum and Difference of Two
Terms
● EASY QUESTION:
● (a - b) (a + b)
SOLUTION:
(a)2 (-b)2
ANSWER:
a2 - b2
E A C
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Second Quarter Grade 8 Mathematics Performance Task Special Products
7
Name:
Product of Sum and Difference of Two
Terms
● AVERAGE QUESTION:
(2.43 + a) (2.43 - a)
SOLUTION:
(2.43)2 (-a)2
ANSWER:
5.9049 - a^2
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Second Quarter Grade 8 Mathematics Performance Task Special Products
8
Name:
Product of Sum and Difference of Two
Terms
● CHALLENGING QUESTION:
(½ y - 8u4) (½ y + 8u4)
SOLUTION:
(½ y)2 + (8u4)2
ANSWER:
¼ y2 - 64u8
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Second Quarter Grade 8 Mathematics Performance Task Special Products
9
Name:
SQUARE OF A TRINOMIAL
● EASY QUESTION:
(m + 4 + 9n)
SOLUTION:
(m)2 + (4)2 + (9n)2 + 2(m)(4) + 2(m)(9n) + 2(4)(9n)
ANSWER:
m2 + 16 + 81n2 + 8m + 18nm + 72n
E A C
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a Binomial
Square of
a
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Product of
a
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Second Quarter Grade 8 Mathematics Performance Task Special Products
10
Name:
SQUARE OF A TRINOMIAL
● AVERAGE QUESTION:
(4.6 + 5m + 39y)
SOLUTION:
(4.6)2 + (5m)2 + (39y)2 + 2(4.6)(5m) + 2(4.6)(39y) + 2(5m)(39y)
ANSWER:
21.16 + 25m2 + 1521y2 + 46m + 358.8y + 390my
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Second Quarter Grade 8 Mathematics Performance Task Special Products
11
Name:
SQUARE OF A TRINOMIAL
● CHALLENGING QUESTION:
(17t4 + 34a + 2.2x3)
SOLUTION:
(17t4)2 + (34a)2 + (2.2x3)2 + 2(17t4)(34a) + 2(17t4)(2.2x3) +
2(34a)(2.2x3)
ANSWER:
289t8 + 1156a2 + 4.84x6 + 1156t4a + 74.8t4x3 + 149.6ax3
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Second Quarter Grade 8 Mathematics Performance Task Special Products
12
Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
● EASY QUESTION:
(8 + m) (64 - 16m + m2)
SOLUTION:
(8)3 (m)3
ANSWER:
512 + m3
E A C
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a Binomial
Square of
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and a
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Second Quarter Grade 8 Mathematics Performance Task Special Products
13
Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
● AVERAGE QUESTION:
(12s + 5i2) (144s2 - 120si2 + 21i4)
SOLUTION:
(12s)3 (5i2)3
ANSWER:
1728s3 + 125i6
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Second Quarter Grade 8 Mathematics Performance Task Special Products
14
Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
● CHALLENGING QUESTION:
(42s2t + 33a4r) (1764s4t - 2772s2ta4r + 1089a8r)
SOLUTION:
(42s2t)3 (33a4r)3
ANSWER:
74088s6t + 35937a12r
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Second Quarter Grade 8 Mathematics Performance Task Special Products
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Name:
CUBE OF A BINOMIAL
● EASY QUESTION:
(4 + b)3
SOLUTION:
(4)3 + 3(4)2(b) + 3(4)(b)2 + (b)3
ANSWER:
64 + 48b + 12b2 + b3
E A C
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Second Quarter Grade 8 Mathematics Performance Task Special Products
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Name:
CUBE OF A BINOMIAL
● AVERAGE QUESTION:
(35y + 14b)3
SOLUTION:
(35y)3 + 3(35y)2(14b) + 3(35y)(14b)2 + (14b)3
ANSWER:
42875y3 + 51450y2b + 20580yb2 + 2744b3
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Second Quarter Grade 8 Mathematics Performance Task Special Products
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Name:
CUBE OF A BINOMIAL
CHALLENGING QUESTION:
(21y4 + 17r3)
SOLUTION:
(21y4)3 + 3(21y4)2(17r3) + 3(21y4)(17r3)2 + (17y3)3
ANSWER:
9261y12 + 22491y8r3 + 18207y4r6 + 4913y9
Square of
a Binomial
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a
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SDTT
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a
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Second Quarter Grade 8 Mathematics Performance Task Special Products
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Dustine Villa
Second Quarter Grade 8 Mathematics Performance Task Special Products 19
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Square of
a Binomial
Product of
SDTT
Square of
Trinomial
Product of
a Binomial
& a
Trinomial
Cube of a
Binomial
Name: VILLA, DUSTINE
SQUARE OF A BINOMIAL
○ EASY QUESTION:
Square the Binomial (4+5y4).
SOLUTION:
(4)2 + 2(4)(5y4) + (5y4)2
FINAL ANSWER:
16 + 40y4 + 25y8
Square of
a Binomial
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SDTT
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a
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
SQUARE OF A BINOMIAL
○ AVERAGE QUESTION:
Square the Binomial (4x - 2.3y2).
SOLUTION:
(4x)2 + 2(4x)(-2.3y2) + (-2.3y2)2
FINAL ANSWER:
16x2 - 18.4xy2 + 5.29y4
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
SQUARE OF A BINOMIAL
○ CHALLENGING QUESTION:
Square the Binomial (1/2c7y9 - 2.1x2n5)
SOLUTION:
(1/2c7y9)2 + 2(1/2c7y9)(-2.1x2n5) + (2.1x2n5)2
FINAL ANSWER:
0.25c14y18 - 2.1c7y9x2n5 + 4.41x4n10
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
Product of Sum and Difference of Two
Terms
○ EASY QUESTION: (5 - n) (5 + n)
SOLUTION:
(5)2 -(n)2
FINAL ANSWER:
25 - n2
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
Product of Sum and Difference of Two
Terms
○ AVERAGE QUESTION: (21d + x3y7)(21d - x3y7)
SOLUTION:
(21d)2 -(x3y7)2
FINAL ANSWER:
441d2 - x6y14
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
Product of Sum and Difference of Two
Terms
○ CHALLENGING QUESTION: [( 8 + a ) - 18] [( 8 + a ) +18]
SOLUTION: (8)2 + 2(8)(a) + (-a)2 - (18)2
FINAL ANSWER:
64 + 16a + a2 - 324
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
SQUARE OF A TRINOMIAL
○ EASY QUESTION: (m2 + 3n + 2)2
SOLUTION:
(m2)2 + (3n)2 + (2)2 + 2(m2)(3n) + 2(m2)(2) + 2(3n)(2)
FINAL ANSWER:
m4 + 3n4 + 4 + 6m2n + 4m2 + 12n
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
SQUARE OF A TRINOMIAL
○ AVERAGE QUESTION: (0.3x4 + 2.1m3 - 1.2d5)2
SOLUTION:
(0.3x4)2 + ( 2.1m3)2 + (-1.2d5)2 + 2(0.3x4)(2.1m3) + 2(0.3x4) (-
1.2d5) + 2( 2.1m3)(-1.2d5)
FINAL ANSWER:
0.09x8 + 4.41m6 + 1.44d10 + 1.26x4m3 - 0.72x4d5 - 5.04m3d5
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
SQUARE OF A TRINOMIAL
○ CHALLENGING QUESTION:
Find the area of a square lot whose side measures (6d +7c2 -
21n) meters.
SOLUTION: S2 = (6d +7c2 - 21n) 2
(6d)2 + (7c2)2 + (-21n)2 + 2(6d)(7c2) + 2(6d)(-21n) + 2(7c2)(-21n)
FINAL ANSWER:
36d2 + 49c4 + 441n2 + 84dc2 - 252dn - 294c2n
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
○ EASY QUESTION: (2 + 4x) (4 - 8x +16x)
SOLUTION:
(2)3 + (4x)3
FINAL ANSWER:
8 + 64x3
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SDTT
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
○ AVERAGE QUESTION: (12r6d - 2m8b) (144r12d + 24r6dm8b+
4m8b)
SOLUTION:
(12r6d)3 + (-2m8b)3
FINAL ANSWER
1,728r18d + 8m24b
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
○ CHALLENGING QUESTION:
Find the area of a rectangular lot whose length and width
measures (0.5d + 3.4m4n2)(0.25d2 - 1.7dm4n2 + 11.56m8n4)
SOLUTION:
(0.5d)3 + (3.4m4n2)3
FINAL ANSWER:
0.125d + 39.204m12n6 square meters.
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
CUBE OF A BINOMIAL
○ EASY QUESTION: (a + b5)3
SOLUTION:
(a)3 + 3(a)2(b5) + 3(a)(b5)2 + (b5)3
FINAL ANSWER:
a3 + 3a2b5 + 3ab10 + b15
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
CUBE OF A BINOMIAL
○ AVERAGE QUESTION: (1.8g8 - 5v4)3
SOLUTION:
(1.8g8)3 + 3(1.8g8)2(- 5v4) + 3(1.8g8)(- 5v4)2 + (- 5v4)3
FINAL ANSWER:
5.832g24 - 32.4g16v4 + 135g8v8 - 125v12
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Second Quarter Grade 8 Mathematics Performance
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Name:VILLA, DUSTINE
CUBE OF A BINOMIAL
○ CHALLENGING QUESTION:
Find the volume of a cube whose edge measure ( 5v3 + 10x5)
meters.
SOLUTION:
( 5v3)3 + 3( 5v3)2 (10x5) + 3( 5v3)(10x5)2 + (10x5)3
FINAL ANSWER:
125v9 + 750v6x5 + 1,500v3x10 + 1,000x15 cubic meters.
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Second Quarter Grade 8 Mathematics Performance
Task Special Products
34
CARLO TORRES
Second Quarter Grade 8 Mathematics Performance Task Special Products 35
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Square of
a Binomial
Product of
SDTT
Square of
Trinomial
Product of
a Binomial
& a
Trinomial
Cube of a
Binomial
∗ EASY QUESTION:
( H+B )^2
SOLUTION:
( H )^2+2( H ) ( B )+( G )^2
ANSWER:
H^2+2HB+G^2
Name:
SQUARE OF A BINOMIAL
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SDTT
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ AVERAGE QUESTION:
(c^3b-d^2)2
SOLUTION:
(c^3b)2+2(c^3b)(d^2)+(d^2)2
ANSWER:
c^6b+c^6bc^4+c4
Name:
SQUARE OF A BINOMIAL
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a Binomial
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ CHALLENGING QUESTION:
(½+10y^5)^2
SOLUTION:
(½)^2+2(½)(10y^5)+(10y^5)^2
ANSWER:
¼+10y^5+100y^10
Name:
SQUARE OF A BINOMIAL
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a Binomial
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a
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SDTT
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a
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and a
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ EASY QUESTION:
(c+a)(a-c)
SOLUTION:
( c )^2 ( a )^2
ANSWER:
c^2-a^2
Name:
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ AVERAGE QUESTION:
(a^2 + b^3)(a^2 + b^3)
SOLUTION:
(a^2)^2 (b^3)^2
ANSWER:
a^4 - b^6
Name:
Product of Sum and Difference of Two Terms
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a Binomial
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ CHALLENGING QUESTION:
[(a+b) - 12]
[(a+b) - 12]
SOLUTION:
[(a+b) - 12] [(a+b)+12]
ANSWER:
a^2+2ab+n^2 - 144
Name:
Product of Sum and Difference of Two Terms
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ EASY QUESTION:
(x+4y+4)^2
SOLUTION:
(X)^2+(4y)^2+(4)^2+2(x)(4y)+2(x)(4) + 2(4y)(4)
ANSWER:
x^2+16y^2+16+8xy+ 8x +16y
Name:
SQUARE OF A TRINOMIAL
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a Binomial
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ AVERAGE QUESTION:
4a^2+12ab+9b^2
SOLUTION:
(4a^2)^2+(12ab)^2+(9b^2)^2+2(4a^2)(12ab)+2(4a^2)(9b^2)+2(12ab)
(9b^2)
ANSWER:
16a^4+144ab^2+81b^4+96ab^4+72b^8+216ab^4
Name:
SQUARE OF A TRINOMIAL
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a Binomial
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ CHALLENGING QUESTION:
(9/3a^3-4x^4+12)^2
SOLUTION:
(9/3a^3)^2 + (-4b^4)^2 + (12)^2 + 2(9/3a^3)(-4b^4) + 2(9/3a^3)(12) +
2(-4b^4)(12)
ANSWER:
9a^6 + 16b^8 + 144 - 24a^4b^3 + 72a^3 - 96b^4
Name:
SQUARE OF A TRINOMIAL
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a Binomial
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a
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SDTT
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ EASY QUESTION:
(b^2+2) (b^4-4b^2+4)
SOLUTION:
(b^2)^3 (2)^3
ANSWER:
b^6+ 8
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PRODUCT OF A BINOMIAL AND A
TRINOMIAL
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ AVERAGE QUESTION:
(4a^2-b^3) (16a^4+8a^2b^3+b^6)
SOLUTION:
(4a^2)^3 (b^3)^3
ANSWER:
64a^6+b^9
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PRODUCT OF A BINOMIAL AND A
TRINOMIAL
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a Binomial
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a
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SDTT
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a
Binomial
and a
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ CHALLENGING QUESTION:
(2/3g^2+4/5h) (4/9g^4-16/15g^2h+16/25h^2)
SOLUTION:
(2/3g^2)^3 ( 4/5h)^3
ANSWER:
8/27g^6+64/125h^3
Name:
PRODUCT OF A BINOMIAL AND A
TRINOMIAL
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Square of
a Binomial
Square of
a
Trinomial
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SDTT
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a
Binomial
and a
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Second Quarter Grade 8 Mathematics Performance Task Special
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∗ EASY QUESTION:
(b+a)^3
SOLUTION:
(b)^3+3(b)^2(a)+3(b)(a)^2+(a)^3
ANSWER:
b^3 +3b^2a+3ba^2+a3
Name:
CUBE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
48
∗ AVERAGE QUESTION:
(1.2+4.6)^3
SOLUTION:
(1.2)^3+3(1.2)^2 (4.6)+3(1.2) (4.6)^2+(4.6)^3
ANSWER:
1.728+16.56+76.176+97.336
Name:
CUBE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
49
∗ CHALLENGING QUESTION:
(2/5b^3+⅗)^2
SOLUTION:
(2/5b^3)^3+3(2/5b^3)^2 (⅗)+3(2/5b^3) (⅗)^2+(⅗)^3
ANSWER:
8/125+9/25b^6+18/25b^3+27/125
Name:
CUBE OF A BINOMIAL
E A C
Square of
a Binomial
Square of
a
Trinomial
Product of
SDTT
Product of
a
Binomial
and a
Trinomial
Cube of a
Binomial
Second Quarter Grade 8 Mathematics Performance Task Special
Products
50
RECLECTION
Group Name _CYCLOID_
Second Quarter Grade 8 Mathematics Performance Task Special Products 51
1 2
3 4
Krystal Mizona
In this Peta it helped me in creating my own problem to solve. This peta also
helped our environment in saving trees because this peta is paperless. It helped
me to understand more about solving all the problems in math algebra. It’s not
easy for me to create a problem.
Second Quarter Grade 8 Mathematics Performance Task Special Products 52
1 2
3 4
Dustine Villa
I LEARNED HOW TO TO HELP WITHOUT CAUSING BAD EFFECTS TO THE
SOCIETY THROUGH THIS PAPERLESS PETA. I ALSO LEARNED TO
APPRECIATE OUR TEACHERS WHO GIVE TIME TO MAKE POWERPOINTS
FOR US TO UNDERSTAND THE LESSONS THAT WOULD REALLY BE
HOPEFUL FOR US IN THE FUTURE. I HAVE ALSO UNDERSTAND THE EFFECT
THIS PETA WOULD MAKE TO EVERYONE , SPECIALLY TO THE STUDENTS
LIKE ME. I HAVE FULLY UNDERSTAND AND PRACTICED THE LESSONS
(SPECIAL PRODUCTS) THROUGH THIS PETA/ICL 1. I THANK GOD AND SIR
CAPARAS FOR THIS OPPORTUNITY TO HELP AND PRACTICE SPECIAL
PRODUCTS AND I LOOK FORWARD TO MORE PETAS LIKE THIS.
Second Quarter Grade 8 Mathematics Performance Task Special Products 53
1 2
3 4
John Torres
Second Quarter Grade 8 Mathematics Performance Task Special Products 54
1 2
3 4
I have learned many things.Like solving my own problem,Like solving for
square of trinomial and also cube of binomial.And also i know the steps of
how to solve algebra in easy way.

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Group Cycloid

  • 1. SECOND QUARTER’s PERFORMANCE TASK: SPECIAL PRODUCTS ICL: Showcase of Solution and Final Answer
  • 2. Group Name: CYCLOID Second Quarter Grade 8 Mathematics Performance Task Special Products 2 Krystal Mizona Dustine Villa John Torres
  • 3. Krystal Mizona Second Quarter Grade 8 Mathematics Performance Task Special Products 3 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
  • 4. Name: SQUARE OF A BINOMIAL ● EASY QUESTION: ● (4 + b) SOLUTION: (4)2 + 2(4 + b) + (b)2 ANSWER: 16 + 8b + b2 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 4
  • 5. Name: SQUARE OF A BINOMIAL ● AVERAGE QUESTION: ● (13y + 32x) SOLUTION: (13y)2 + 2(13y + 32x) + (32x)2 ANSWER: 169y2 + 832yx + 1024x2 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 5
  • 6. Name: SQUARE OF A BINOMIAL ● CHALLENGING QUESTION: (33y3 + 21k2) SOLUTION: (33y3)2 + 2(33y3 + 21k2) + (21k2)2 ANSWER: 1089y6 + 1386y3k2 + 441k4 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 6
  • 7. Name: Product of Sum and Difference of Two Terms ● EASY QUESTION: ● (a - b) (a + b) SOLUTION: (a)2 (-b)2 ANSWER: a2 - b2 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 7
  • 8. Name: Product of Sum and Difference of Two Terms ● AVERAGE QUESTION: (2.43 + a) (2.43 - a) SOLUTION: (2.43)2 (-a)2 ANSWER: 5.9049 - a^2 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 8
  • 9. Name: Product of Sum and Difference of Two Terms ● CHALLENGING QUESTION: (½ y - 8u4) (½ y + 8u4) SOLUTION: (½ y)2 + (8u4)2 ANSWER: ¼ y2 - 64u8 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 9
  • 10. Name: SQUARE OF A TRINOMIAL ● EASY QUESTION: (m + 4 + 9n) SOLUTION: (m)2 + (4)2 + (9n)2 + 2(m)(4) + 2(m)(9n) + 2(4)(9n) ANSWER: m2 + 16 + 81n2 + 8m + 18nm + 72n E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 10
  • 11. Name: SQUARE OF A TRINOMIAL ● AVERAGE QUESTION: (4.6 + 5m + 39y) SOLUTION: (4.6)2 + (5m)2 + (39y)2 + 2(4.6)(5m) + 2(4.6)(39y) + 2(5m)(39y) ANSWER: 21.16 + 25m2 + 1521y2 + 46m + 358.8y + 390my Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 11
  • 12. Name: SQUARE OF A TRINOMIAL ● CHALLENGING QUESTION: (17t4 + 34a + 2.2x3) SOLUTION: (17t4)2 + (34a)2 + (2.2x3)2 + 2(17t4)(34a) + 2(17t4)(2.2x3) + 2(34a)(2.2x3) ANSWER: 289t8 + 1156a2 + 4.84x6 + 1156t4a + 74.8t4x3 + 149.6ax3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 12
  • 13. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● EASY QUESTION: (8 + m) (64 - 16m + m2) SOLUTION: (8)3 (m)3 ANSWER: 512 + m3 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 13
  • 14. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● AVERAGE QUESTION: (12s + 5i2) (144s2 - 120si2 + 21i4) SOLUTION: (12s)3 (5i2)3 ANSWER: 1728s3 + 125i6 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 14
  • 15. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● CHALLENGING QUESTION: (42s2t + 33a4r) (1764s4t - 2772s2ta4r + 1089a8r) SOLUTION: (42s2t)3 (33a4r)3 ANSWER: 74088s6t + 35937a12r Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 15
  • 16. Name: CUBE OF A BINOMIAL ● EASY QUESTION: (4 + b)3 SOLUTION: (4)3 + 3(4)2(b) + 3(4)(b)2 + (b)3 ANSWER: 64 + 48b + 12b2 + b3 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 16
  • 17. Name: CUBE OF A BINOMIAL ● AVERAGE QUESTION: (35y + 14b)3 SOLUTION: (35y)3 + 3(35y)2(14b) + 3(35y)(14b)2 + (14b)3 ANSWER: 42875y3 + 51450y2b + 20580yb2 + 2744b3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 17
  • 18. Name: CUBE OF A BINOMIAL CHALLENGING QUESTION: (21y4 + 17r3) SOLUTION: (21y4)3 + 3(21y4)2(17r3) + 3(21y4)(17r3)2 + (17y3)3 ANSWER: 9261y12 + 22491y8r3 + 18207y4r6 + 4913y9 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 18
  • 19. Dustine Villa Second Quarter Grade 8 Mathematics Performance Task Special Products 19 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
  • 20. Name: VILLA, DUSTINE SQUARE OF A BINOMIAL ○ EASY QUESTION: Square the Binomial (4+5y4). SOLUTION: (4)2 + 2(4)(5y4) + (5y4)2 FINAL ANSWER: 16 + 40y4 + 25y8 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 20
  • 21. Name:VILLA, DUSTINE SQUARE OF A BINOMIAL ○ AVERAGE QUESTION: Square the Binomial (4x - 2.3y2). SOLUTION: (4x)2 + 2(4x)(-2.3y2) + (-2.3y2)2 FINAL ANSWER: 16x2 - 18.4xy2 + 5.29y4 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 21
  • 22. Name:VILLA, DUSTINE SQUARE OF A BINOMIAL ○ CHALLENGING QUESTION: Square the Binomial (1/2c7y9 - 2.1x2n5) SOLUTION: (1/2c7y9)2 + 2(1/2c7y9)(-2.1x2n5) + (2.1x2n5)2 FINAL ANSWER: 0.25c14y18 - 2.1c7y9x2n5 + 4.41x4n10 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 22
  • 23. Name:VILLA, DUSTINE Product of Sum and Difference of Two Terms ○ EASY QUESTION: (5 - n) (5 + n) SOLUTION: (5)2 -(n)2 FINAL ANSWER: 25 - n2 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 23
  • 24. Name:VILLA, DUSTINE Product of Sum and Difference of Two Terms ○ AVERAGE QUESTION: (21d + x3y7)(21d - x3y7) SOLUTION: (21d)2 -(x3y7)2 FINAL ANSWER: 441d2 - x6y14 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 24
  • 25. Name:VILLA, DUSTINE Product of Sum and Difference of Two Terms ○ CHALLENGING QUESTION: [( 8 + a ) - 18] [( 8 + a ) +18] SOLUTION: (8)2 + 2(8)(a) + (-a)2 - (18)2 FINAL ANSWER: 64 + 16a + a2 - 324 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 25
  • 26. Name:VILLA, DUSTINE SQUARE OF A TRINOMIAL ○ EASY QUESTION: (m2 + 3n + 2)2 SOLUTION: (m2)2 + (3n)2 + (2)2 + 2(m2)(3n) + 2(m2)(2) + 2(3n)(2) FINAL ANSWER: m4 + 3n4 + 4 + 6m2n + 4m2 + 12n Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 26
  • 27. Name:VILLA, DUSTINE SQUARE OF A TRINOMIAL ○ AVERAGE QUESTION: (0.3x4 + 2.1m3 - 1.2d5)2 SOLUTION: (0.3x4)2 + ( 2.1m3)2 + (-1.2d5)2 + 2(0.3x4)(2.1m3) + 2(0.3x4) (- 1.2d5) + 2( 2.1m3)(-1.2d5) FINAL ANSWER: 0.09x8 + 4.41m6 + 1.44d10 + 1.26x4m3 - 0.72x4d5 - 5.04m3d5 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 27
  • 28. Name:VILLA, DUSTINE SQUARE OF A TRINOMIAL ○ CHALLENGING QUESTION: Find the area of a square lot whose side measures (6d +7c2 - 21n) meters. SOLUTION: S2 = (6d +7c2 - 21n) 2 (6d)2 + (7c2)2 + (-21n)2 + 2(6d)(7c2) + 2(6d)(-21n) + 2(7c2)(-21n) FINAL ANSWER: 36d2 + 49c4 + 441n2 + 84dc2 - 252dn - 294c2n Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 28
  • 29. Name:VILLA, DUSTINE PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ EASY QUESTION: (2 + 4x) (4 - 8x +16x) SOLUTION: (2)3 + (4x)3 FINAL ANSWER: 8 + 64x3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 29
  • 30. Name:VILLA, DUSTINE PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ AVERAGE QUESTION: (12r6d - 2m8b) (144r12d + 24r6dm8b+ 4m8b) SOLUTION: (12r6d)3 + (-2m8b)3 FINAL ANSWER 1,728r18d + 8m24b Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 30
  • 31. Name:VILLA, DUSTINE PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ CHALLENGING QUESTION: Find the area of a rectangular lot whose length and width measures (0.5d + 3.4m4n2)(0.25d2 - 1.7dm4n2 + 11.56m8n4) SOLUTION: (0.5d)3 + (3.4m4n2)3 FINAL ANSWER: 0.125d + 39.204m12n6 square meters. Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 31
  • 32. Name:VILLA, DUSTINE CUBE OF A BINOMIAL ○ EASY QUESTION: (a + b5)3 SOLUTION: (a)3 + 3(a)2(b5) + 3(a)(b5)2 + (b5)3 FINAL ANSWER: a3 + 3a2b5 + 3ab10 + b15 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 32
  • 33. Name:VILLA, DUSTINE CUBE OF A BINOMIAL ○ AVERAGE QUESTION: (1.8g8 - 5v4)3 SOLUTION: (1.8g8)3 + 3(1.8g8)2(- 5v4) + 3(1.8g8)(- 5v4)2 + (- 5v4)3 FINAL ANSWER: 5.832g24 - 32.4g16v4 + 135g8v8 - 125v12 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 33
  • 34. Name:VILLA, DUSTINE CUBE OF A BINOMIAL ○ CHALLENGING QUESTION: Find the volume of a cube whose edge measure ( 5v3 + 10x5) meters. SOLUTION: ( 5v3)3 + 3( 5v3)2 (10x5) + 3( 5v3)(10x5)2 + (10x5)3 FINAL ANSWER: 125v9 + 750v6x5 + 1,500v3x10 + 1,000x15 cubic meters. Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 34
  • 35. CARLO TORRES Second Quarter Grade 8 Mathematics Performance Task Special Products 35 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
  • 36. ∗ EASY QUESTION: ( H+B )^2 SOLUTION: ( H )^2+2( H ) ( B )+( G )^2 ANSWER: H^2+2HB+G^2 Name: SQUARE OF A BINOMIAL Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C Second Quarter Grade 8 Mathematics Performance Task Special Products 36
  • 37. ∗ AVERAGE QUESTION: (c^3b-d^2)2 SOLUTION: (c^3b)2+2(c^3b)(d^2)+(d^2)2 ANSWER: c^6b+c^6bc^4+c4 Name: SQUARE OF A BINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 37
  • 38. ∗ CHALLENGING QUESTION: (½+10y^5)^2 SOLUTION: (½)^2+2(½)(10y^5)+(10y^5)^2 ANSWER: ¼+10y^5+100y^10 Name: SQUARE OF A BINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 38
  • 39. ∗ EASY QUESTION: (c+a)(a-c) SOLUTION: ( c )^2 ( a )^2 ANSWER: c^2-a^2 Name: Product of Sum and Difference of Two Terms E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 39
  • 40. ∗ AVERAGE QUESTION: (a^2 + b^3)(a^2 + b^3) SOLUTION: (a^2)^2 (b^3)^2 ANSWER: a^4 - b^6 Name: Product of Sum and Difference of Two Terms E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 40
  • 41. ∗ CHALLENGING QUESTION: [(a+b) - 12] [(a+b) - 12] SOLUTION: [(a+b) - 12] [(a+b)+12] ANSWER: a^2+2ab+n^2 - 144 Name: Product of Sum and Difference of Two Terms E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 41
  • 42. ∗ EASY QUESTION: (x+4y+4)^2 SOLUTION: (X)^2+(4y)^2+(4)^2+2(x)(4y)+2(x)(4) + 2(4y)(4) ANSWER: x^2+16y^2+16+8xy+ 8x +16y Name: SQUARE OF A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 42
  • 43. ∗ AVERAGE QUESTION: 4a^2+12ab+9b^2 SOLUTION: (4a^2)^2+(12ab)^2+(9b^2)^2+2(4a^2)(12ab)+2(4a^2)(9b^2)+2(12ab) (9b^2) ANSWER: 16a^4+144ab^2+81b^4+96ab^4+72b^8+216ab^4 Name: SQUARE OF A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 43
  • 44. ∗ CHALLENGING QUESTION: (9/3a^3-4x^4+12)^2 SOLUTION: (9/3a^3)^2 + (-4b^4)^2 + (12)^2 + 2(9/3a^3)(-4b^4) + 2(9/3a^3)(12) + 2(-4b^4)(12) ANSWER: 9a^6 + 16b^8 + 144 - 24a^4b^3 + 72a^3 - 96b^4 Name: SQUARE OF A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 44
  • 45. ∗ EASY QUESTION: (b^2+2) (b^4-4b^2+4) SOLUTION: (b^2)^3 (2)^3 ANSWER: b^6+ 8 Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 45
  • 46. ∗ AVERAGE QUESTION: (4a^2-b^3) (16a^4+8a^2b^3+b^6) SOLUTION: (4a^2)^3 (b^3)^3 ANSWER: 64a^6+b^9 Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 46
  • 47. ∗ CHALLENGING QUESTION: (2/3g^2+4/5h) (4/9g^4-16/15g^2h+16/25h^2) SOLUTION: (2/3g^2)^3 ( 4/5h)^3 ANSWER: 8/27g^6+64/125h^3 Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 47
  • 48. ∗ EASY QUESTION: (b+a)^3 SOLUTION: (b)^3+3(b)^2(a)+3(b)(a)^2+(a)^3 ANSWER: b^3 +3b^2a+3ba^2+a3 Name: CUBE OF A BINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 48
  • 49. ∗ AVERAGE QUESTION: (1.2+4.6)^3 SOLUTION: (1.2)^3+3(1.2)^2 (4.6)+3(1.2) (4.6)^2+(4.6)^3 ANSWER: 1.728+16.56+76.176+97.336 Name: CUBE OF A BINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 49
  • 50. ∗ CHALLENGING QUESTION: (2/5b^3+⅗)^2 SOLUTION: (2/5b^3)^3+3(2/5b^3)^2 (⅗)+3(2/5b^3) (⅗)^2+(⅗)^3 ANSWER: 8/125+9/25b^6+18/25b^3+27/125 Name: CUBE OF A BINOMIAL E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial Second Quarter Grade 8 Mathematics Performance Task Special Products 50
  • 51. RECLECTION Group Name _CYCLOID_ Second Quarter Grade 8 Mathematics Performance Task Special Products 51 1 2 3 4
  • 52. Krystal Mizona In this Peta it helped me in creating my own problem to solve. This peta also helped our environment in saving trees because this peta is paperless. It helped me to understand more about solving all the problems in math algebra. It’s not easy for me to create a problem. Second Quarter Grade 8 Mathematics Performance Task Special Products 52 1 2 3 4
  • 53. Dustine Villa I LEARNED HOW TO TO HELP WITHOUT CAUSING BAD EFFECTS TO THE SOCIETY THROUGH THIS PAPERLESS PETA. I ALSO LEARNED TO APPRECIATE OUR TEACHERS WHO GIVE TIME TO MAKE POWERPOINTS FOR US TO UNDERSTAND THE LESSONS THAT WOULD REALLY BE HOPEFUL FOR US IN THE FUTURE. I HAVE ALSO UNDERSTAND THE EFFECT THIS PETA WOULD MAKE TO EVERYONE , SPECIALLY TO THE STUDENTS LIKE ME. I HAVE FULLY UNDERSTAND AND PRACTICED THE LESSONS (SPECIAL PRODUCTS) THROUGH THIS PETA/ICL 1. I THANK GOD AND SIR CAPARAS FOR THIS OPPORTUNITY TO HELP AND PRACTICE SPECIAL PRODUCTS AND I LOOK FORWARD TO MORE PETAS LIKE THIS. Second Quarter Grade 8 Mathematics Performance Task Special Products 53 1 2 3 4
  • 54. John Torres Second Quarter Grade 8 Mathematics Performance Task Special Products 54 1 2 3 4 I have learned many things.Like solving my own problem,Like solving for square of trinomial and also cube of binomial.And also i know the steps of how to solve algebra in easy way.