13. b2 + 10b + 16 22. 36g2 + 51g + 1814. n2 + 13n + 42 23. 35x2 – 27x +415. x2 – 13x + 36 24. 18a2 – 63a + 4016. a2 – 8a + 15 25. 4n2 + 12n + 917. y2 – 4y – 32 26. 25m2 – 60m + 3618. p2 – 8p – 20 27. 100r2 - 1619. 2w2 + 9w – 35 28. 49t2 – 25 20. 3k2 + 34k – 24 29. 40x2 – 22xy – 8y2

21. 40d2 + 31d + 6

Homework Answers

1. (x + 4)(x – 2)2. (2x + 3)(x + 6)3. (3x – 1)(2x – 4)4. (x + y)(2x – 3y)5. (3x – 2y)(3x + 2y)

Evaluate the following

Special ProductsLesson 35

The square of a + b is:1.The square of a (a2) plus (+)2.Two times the product of a and b (2ab) plus (+)3.The square of b (b2)

Ex: (a + b)2 = a2 + 2ab + b2

Prove this is true by FOIL-ing (a + b)2

Square of a Sum (a + b)2

1. (x + 4)2

2. (3z + 1)2

3. (4y + 5z)2

Examples Of Square of a Sum Problems

The square of a – b is 1.The square of a (a2) minus ( - )2.Two times the product of a and b (2ab) plus

(+)3.The square of b (b2)

Ex: (a - b)2 = a2 - 2ab + b2

Prove this is true by FOIL-ing (a - b)2

Square of a Difference (a – b)2

1. (x – 5)2

2. (3c – 4)2

3. (5m3 – 2n)2

Examples Of Square of a Difference Problems