Special Products Section 6.4. Find the product. (x + 2)(x + 2) (x + 3)(x + 3)

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Presentation transcript:

Special Products Section 6.4

Find the product. (x + 2)(x + 2) (x + 3)(x + 3)

Find the product. (x -2) 2 (x - 3) 2

Find the product. (x - 4) 2 (x - 5) 2

Find the product. (2x + 1)(2x + 1) (2x + 3)(2x + 3)

Can you find the pattern? (x + 2)(x + 2) = x 2 + 4x + 4 (x + 3)(x + 3) = x 2 + 6x + 9 (x - 2) 2 = (x - 2)(x - 2) = x 2 - 4x + 4 (x - 3) 2 = (x - 3)(x - 3) = x 2 - 6x + 9 (x - 4) 2 = (x - 4)(x - 4) = x 2 - 8x + 16 (x - 5) 2 = (x - 5)(x - 5) = x x + 25 (2x + 1)(2x + 1) = 4x 2 + 4x + 1 (2x + 3)(2x + 3) = 4x x + 9

(a + b)(a + b) = a 2 + 2ab + b 2 (a - b)(a - b) = a 2 - 2ab + b 2

Find the product. (x - 2)(x + 2) (x + 3)(x - 3)

Find the product. (2x - 1)(2x + 1) (2x + 3)(2x - 3)

Can you find the pattern? (x - 2)(x + 2) = x (x + 3)(x - 3) = x (x - 4)(x + 4) = x (x + 5)(x - 5) = x (2x - 1)(2x + 1) = 4x (2x + 3)(2x - 3) = 4x 2 - 9

(a - b)(a + b) = a 2 - b 2

Find the product.

Find the product.

Find the product.

Homework