Factoring

Grouping

100

yx+3x -2y -6

(x-2) (y+3)

200

yw -5w -3y +15

(y-5) (w-3)

300

3y³  +7y² +15y +35

(y²+5) (3y+7)

400

5u - 3w² +15w - wu

(u + 3w) (5-w)

500

4x³ - 7x² -8x +14

(4x - 7) (x² - 2)

Lead Coeff 1 & GCF

100

x² +4x - 12

(x - 2) (x + 6)

200

x² -9xy + 18y²

( x - 3y) (x - 6y)

300

3x² - 15x - 72

3 (x +3 ) ( x - 8 )

400

4x² + 16x - 48

4 ( x -2 ) ( x + 6)

500

4x² - 28x - 72

4 (x + 2) (x -9 )

Slide & Divide

100

5x² + 26x + 5

(x+5) (5x + 1)

200

3x² -4x -7

(x + 1) (3x - 7)

300

14x² +19x -3

(2x + 3) (7x - 1 )

400

15x² +4xy -4y²

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

500

-5x² - 28x - 15

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

Squares

100

x² - 64

(x -8)  (x + 8)

200

49x² - 25

 (7x + 5 ) (7x - 5)

300

27 - 75x²

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

400

5y³ - 80x²y

5y (y + 4x) (y- 4x)

500

54x²y² - 6y4

6y² (3x+y) (3x-y)

Cubes

100

27x³ +125

(3x + 5) (9x² -15x +25)

200

64 - 27x³

(4- 3x) (16+ 12x + 9x²)

300

8x³ - 125

(2x- 5) (4x² +10x +25)

400

x³ - 216y³

(x - 6y) (x² +6xy +36y²)

500

250x⁴ +128x

2x (5x + 4) (25x² - 20x + 16)