Difference of squares
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This document discusses factoring perfect-square trinomials, which are expressions of the form a^2x^2 ± 2abx + b^2. It provides examples of factoring different trinomials like x^2 - 49, 9a^2 - 25b^2, and 16x^4 - 64y^2. Readers are instructed to practice factoring additional examples like x^2 - 49, c^2 - 81, 4x^2 - 25, a^2b^2 - 64c^2, and 25x^2 - 121y^2.
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Difference of squares
- 2. (1)2 (6)2 (2)2 (7)2 (3)2 (8)2 (4)2 (9)2 (5)2 (10)2 1 4 9 16 25 100 81 64 49 36
- 4. • Perfect-square trinomials are of the form: a2x2 ± 2axb + b2 ...and are expressed in squared- binomial form as: (ax ± b)2 Illustrative Examples: • factor x2-49 = • factor 9a2-25b2 = • factor 16x4 – 64y2 =
- 7. •factor 16x4 – 64y2 =
- 8. “Practice Makes Perfect” 1. x² - 4 = (x - 2) (x + 2) 2. x² - 9 = (x - 3) (x + 3) 3. 25x² - 4 = (5x - 2) (5x + 2) 4. 9x² - 25y² = (3x - 5y) (3x + 5y) 5. 4x² - 49y² = (2x - 7y) (2x + 7y)
- 9. “Try THiS: 1. x² - 49 2. c² - 81 3. 4x² - 25 4. a²b² - 64c² 5. 25x² - 121y²