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Example problems

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Rachel Monaco

The document provides examples of multiplying binomial expressions. Problem 1 multiplies (x-3)*(5x-4) to get 5x^2-19x+12. Problem 2 multiplies (4+8x)*(-7x+5) to get -56x^2+12x+20. Problem 3 multiplies (3z+22)*(9z-11) to get 27z^2+165z-242.

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Example Problems
Problem 1 (x-3)*(5x-4)
First (F) (x-3)*(5x-4) x*5x=5x^2
Outside (O) (x-3)*(5x-4) X*-4=-4x
Inside (I) (x-3)*(5x-4) -3*5x=-15x
Last (L) (x-3)*(5x-4) -3*-4=12
Add them together 5x^2+-4x+-15x+12 5x^2-19x+12
Problem 2 (4+8x)*(-7x+5)
F (4+8x)*(-7x+5) 4*-7x=-28x
O (4+8x)*(-7x+5) 4*5=20
I (4+8x)*(-7x+5) 8x*-7x=-56x^2
L (4+8x)*(-7x+5) 8x*5=40x
Add them together -28x+20-56x^2+40x -56x^2+12x+20
Problem 3 (3z+22)*(9z-11)
F (3z+22)*(9z-11) 3z*9z=27z^2
O (3z+22)*(9z-11) 3z*-11=-33z
I (3z+22)*(9z-11) 22*9z=198z
L (3z+22)*(9z-11) 22*-11=-242
Add them together 27z^2-33+198z-242 27z^2+165z-242

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Example problems