Factoring+and+Expanding+Practice+Questions+(Answers)

**__Practice Quiz (Answers)__**
1. a) x^2 + x - 12 b) 4x^2 - 36 c) 18x^2 - 8

2. Area = length * width = (4y-x)(2y+2x) = 8y^2 + 6xy - 2x^2 metres^2

3. Volume = length * width * height = (x+3)(x)(2x-1) = 2x^3 + 5x^2 - 3x

4. a) x^2 + 14x + 49 b) 4y^2 - 4y + 1 c) 1 - 25m^2 d) 12m^2 - 12mn + 2n^2 - 3m + 45

5. a) (x+7)^2 b) (8m-2)^2

6. a) not possible b) 9(a^3 + 3b^2) c) (a+b)(5x+3) d) (x+3)(y+4) e) (y+4)(y-5) f) (w+2)(w+10) g) (p+16q)(p-2q) h) 5(w+6)(w-2)

7. a) (x+1)(x+4) b) (m-4)(m-6) c) (2y+3)(y+3) d) (3x+1)(2x+3)

8. a) yes b) yes c) no d) yes

9. a) (x+3+y)(x+3-y) b) (x-2+3y)(x-2-3y) c) (2x+3y+2z)(2x+3y-2z) d) (x^2-y+z)(x^2-y-z)