8.5-8.7 Review

8.5 GCF

100

15x-3y

3(5x-y)

200

30x²+18x

6x(5x+3)

300

4x²y-8xy²+2xy

2xy(2x-4y+1)

400

7a²b²+21ab²-ab

ab(7ab+21b-1)

500

3x³y²+12x³y²-21x²y

3x²y(xy+4xy-7)

8.5 Grouping

100

xy+5y-x-5

(y-1)(x+5)

200

4ab+8b+3a+6

(4b+3)(a+2)

300

3ab+15b-4a-20

(3b-4)(a+5)

400

c-2cd+8d-4

(-c+4)(2d-1)

or

(c-4)(1-2d)

500

2ab-12a+42-7b

(-2a+7)(6-b) 

or

(2a-7)(b-6)

8.6 Quadratic Trinomial

100

x²+9x+20

(x+4)(x+5)

200

x²-x-20

(x-5)(x+4)

300

5x²+12x-9

(5x-3)(x+3)

400

3x²-3x-60

3(x-5)(x+4)

500

12x²+20x+8

4(x+1)(3x+2)

8.7 Special Products

100

x²-9

(x+3)(x-3)

200

x²-25

(x+5)(x-5)

300

x²+6x+9

(x+3)(x+3)

400

2x²+16x+32

2(x+4)(x+4)

500

12x²+12x+3

3(2x+1)(2x+1)

Random

100

12ab²+24a²b-15a²b²

3ab(4b+8a-5ab)

200

x²-64

(x+8)(x-8)

300

a²-3a-4ab+12b

(a-4b)(a-3)

400

9x²-30x+25

(3x-5)(3x-5)

500

12x²+14x+4

2(3x+2)(2x+1)