1. Special Products Section 6.4

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

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

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

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

6. 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 2 - 10x + 25 (2x + 1)(2x + 1) = 4x 2 + 4x + 1 (2x + 3)(2x + 3) = 4x 2 + 12x + 9

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

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

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

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

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

12. Find the product.

13. Find the product.

14. Find the product.

15. Homework