ALGEBRA I SECTION 8 4 MULTIPLYING SPECIAL CASES

ALGEBRA I @ SECTION 8 -4 – MULTIPLYING SPECIAL CASES

9) (x - 2)(x + 2) 10) (2 x - 4)(2 x + 4)

9) (x - 2)(x + 2) 10) (2 x - 4)(2 x + 4) 11) (x + 5)(x - 5)

What Patterns Did We See?

What Patterns Did We See? (a + b) = a² + 2 ab + b²

What Patterns Did We See? (a + b) = a² + 2 ab + b² (a - b) = a² - 2 ab + b²

What Patterns Did We See? (a + b) = a² + 2 ab + b² (a - b) = a² - 2 ab + b² conjugates (a + b)(a - b) = a² - b²

SQUARE of a SUM 2 2 2 (a + b) = a + 2 ab + b SQUARE of a DIFFERENCE 2 2 2 (a – b) = a – 2 ab + b DIFFERENCE of SQUARES 2 2 (a + b)(a – b) = a – b

12) (2 n + 3)²

12) (2 n + 3)² 13) (2 n - 3)²

12) (2 n + 3)² 13) (2 n - 3)² 14) (x + 6)

12) (2 n + 3)² 13) (2 n - 3)² 14) (x + 6) 15) (x - 6)

16) (x - 9)(x + 9)

16) (x - 9)(x + 9) 17) (5 c - 7)(5 c + 7)

16) (x - 9)(x + 9) 17) (5 c - 7)(5 c + 7) 18) (8 x + 2)(8 x - 2)

19) (3 x + 5)²

19) (3 x + 5)² 20) (4 x - 5)(4 x + 5)

19) (3 x + 5)² 20) (4 x - 5)(4 x + 5) 21) (x - 8)²

19) (3 x + 5)² 20) (4 x - 5)(4 x + 5) 21) (x - 8)² 22) (4 - y)²