Factoring

Difference of Squares

100

Factor:

x² - 9 

(x - 3) (x + 3)

200

Factor:

x² - 49

(x - 7)(x + 7)

300

Factor:

4x² - 25

(2x - 5)(2x + 5)

400

Factor:

9x² - 16y²

(3x - 4y)(3x + 4y)

500

Factor:

x⁴-81

(x² + 9)(x - 3)(x + 3)

GCF

100

Factor:

6x + 9

GCF: 3

3(2x + 3)

200

Factor:

12x² - 18x

GCF: 6x

6x (2x - 3)

300

Factor:

15x³ + 25x² - 10x

GCF: 5x

5x (3x² + 5x - 2)

400

Factor:

8x²y + 12xy² - 4xy

GCF: 4xy

4xy(2x + 3y - 1)

500

Factor:

18a³b² + 27a²b³ - 9a²b²

GCF: 9a²b²

9a²b² (2a + 3b - 1)

Diamond Method

100

Factor

x² + 5x + 6

(x + 3)(x+2)

200

Factor:

x² - 2x - 15 

(x - 5)(x + 3)

300

Factor:

x² + 3x - 18

(x + 6)(x - 3)

400

Factor:

x² - 11x + 24

(x - 8)(x - 3) 

500

Factor:

x² + x - 42

(x + 7) (x - 6)

Slide and Divide

100

Factor:

2x² + 5x + 3

(x + 1)(2x + 3)

200

Factor:

3x² + 10x + 8

(3x + 4)(x + 2)

300

Factor:

4x² + 4x -3

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

400

Factor:

6x² + 7x - 3

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

500

Factor:

10x² - 13x - 3

(2x - 3)(5x + 1)

Perfect Square Trinomial

100

Factor:

x² + 6x + 9

(x + 3)²

200

Factor:

x² - 10x + 25

(x -5)²

300

Factor:

4x² +12x + 9

(2x + 3)²

400

Factor:

9x² - 30x + 25

(3x + 5)²

500

Factor:

16x² + 40x + 25

(4x + 5)²