1. Splash Screen

2. Then/Now You multiplied binomials by using the FOIL method. Find squares of sums and differences. Find the product of a sum and a difference.

3. Concept Square of a Sum The square of a + b is o the square of a o plus twice the product of a and b o plus the square of b o (a + b) 2 = (a + b)(a + b)Ex: (x + 4) 2 = (x + 4)(x + 4) o = a 2 + 2ab + b 2 = x 2 + 8x + 16 Square of a Difference The square of a – b is o the square of a o minus twice the product of a and b o plus the square of b o (a – b) 2 = (a – b)(a – b)Ex: (x – 3) 2 = (x – 3)(x – 3) o = a 2 – 2ab + b 2 = x 2 – 6x + 9

4. Example 1 Square of a Sum Find (7z + 2) 2. (a + b) 2 = a 2 + 2ab + b 2 Square of a sum (7z + 2) 2 = (7z) 2 + 2(7z)(2) + (2) 2 a = 7z and b = 2 = 49z 2 + 28z + 4Simplify. Answer: 49z 2 + 28z + 4

5. Example 1 Find (3x + 2) 2. A.9x 2 + 4 B.9x 2 + 6x + 4 C.9x + 4 D.9x 2 + 12x + 4

6. Example 2 Square of a Difference Find (3c – 4) 2. (a – b) 2 = a 2 – 2ab + b 2 Square of a difference (3c – 4) 2 = (3c) 2 – 2(3c)(4) + (4) 2 a = 3c and b = 4 = 9c 2 – 24c + 16Simplify. Answer: 9c 2 – 24c + 16

7. Example 2 Find (2m – 3) 2. A.4m 2 + 9 B.4m 2 – 9 C.4m 2 – 6m + 9 D.4m 2 – 12m + 9

8. Example 3 Square of a Difference GEOMETRY Write an expression that represents the area of a square that has a side length of 3x + 12 units. The formula for the area of a square is A = s 2. Answer: The area of the square is 9x 2 + 72x + 144 square units. A = s 2 Area of a square A = (3x + 12) 2 s = (3x + 12) A = (3x) 2 + 2(3x)(12) + (12) 2 a = 3x and b = 12 A = 9x 2 + 72x + 144Simplify.

9. Example 3 GEOMETRY Write an expression that represents the area of a square that has a side length of (3x – 4) units. A.9x 2 – 24x + 16 units 2 B.9x 2 + 16 units 2 C.9x 2 – 16 units 2 D.9x 2 – 12x + 16 units 2

10. Concept Product of a Sum and a Difference The product of a + b and a – b is o the square of a o minus the square of b o (a + b)(a – b) = a 2 – ab + ab – b 2 o = a 2 – b 2

11. Example 4 Product of a Sum and a Difference Find (9d + 4)(9d – 4). (a + b)(a – b)= a 2 – b 2 (9d + 4)(9d – 4)= (9d) 2 – (4) 2 a = 9d and b = 4 = 81d 2 – 16Simplify. Answer: 81d 2 – 16

12. Example 4 Find (3y + 2)(3y – 2). A.9y 2 + 4 B.6y 2 – 4 C.6y 2 + 4 D.9y 2 – 4

13. Concept Assignment Page 488 – 489 Problems 13 – 39, odds

14. Participant Scores 5Nykayla Carreras 5Alexander Vendrell 5Melanie Vazquez 5Jason Lowery 5Jemikah Harrell