3/11 Honors Algebra Warm-up Choose one of the following problems to simplify... 1. (c + 3)2 2. (3x – 2y)2 3.(3x2 + 2x + 1)2 A B C D Lesson 6 CYP4

Product of a Sum and Difference Square of a Sum (a + b)2 = a2 + 2ab + b2 Square of a Difference (a - b)2 = a2 - 2ab + b2 Product of a Sum and Difference (a + b)(a – b)= a2 - b2 Key Concept 7-7a

1. Find (7z + 2)2. 4. Find (3y + 2z)(3y – 2z). 5. Find (3x + 2)2. 2. Find (3c – 4)2. 6. Write an expression that represents the area of a square that has a side length of (3x – 5y) units. 3. Find (9d + 4)(9d – 4). Lesson 7 Ex1

Practice: pgs. 407 – 408 #20-38even 20. b2 - 49 22. 121r2 - 64 24.  36h2 - 48h + 16 26.  a2 + 10ab + 25b2 28. 4x2 - 36xy + 81y2 30. 25w2 - 196 32. x6 + 8x3y + 16y2 34. 64a4 - 81b6 36. (4/9)x2 - 8x + 36 38. 4n3 + 20n2 - n - 5

40. Yes 41. a2 + 2a + 1 42. (a + 1)2 43. 1 Rules Sample Algebra Pick an integer 7 a Square the integer 49 a2 Add twice the original 63 a2 + 2a Add 1 64 a2 + 2a + 1= (a + 1)2 Square Root 8 a + 1 Subtract the original 1