Mixed Factoring

GCF

100

9x - 21

3(3x - 7)

200

2x - 5x²

x(2 - 5x)

300

14x³ + 18x⁴

2x³(7 + 9x)

400

x⁵y² - xy³

xy²(x⁴ - y)

500

-9x³y⁷z³ - 34x²y³z⁷

-x²y³z³(9xy⁴ + 34z⁴)

Difference of Squares

100

x² - 64

(x + 8)(x - 8)

200

49 - x²​​​​

(7 - x)(7 + x)

300

81 - 16x²

(9 - 4x)(9 + 4x)

400

64 - 81y⁴

(8 + 9y²)(8 - 9y²)

500

49x²y⁶ - 25

(7xy³ + 5)(7xy³ - 5)

Sum/Difference of Cubes

100

p³ - 1

(p - 1)(p² + p + 1)

200

8a³ + 27

(2a + 3)(4a² - 6a + 9)

300

8n³ - p³

(2n - p)(4n² + 2np + p²)

400

d⁹ - 8b⁶

(d³ - 2b²)(d⁶ + 2d³b² + 4b⁴)

500

125n³ + 64m⁹

(5n + 4m³)(25n² - 20nm³ + 16m⁶)

Trinomial Factoring

100

x² +7x + 12

(x + 3)(x + 4)

200

x² + 2x - 24

(x - 4)(x + 6)

300

2x² + 5x + 2

(2x + 1)(x + 2)

400

6x² + 61x + 10

(6x + 1)(x + 10)

500

2x³ - 38x² + 180x

2x(x - 10)(x - 9)

Grouping

100

x³ + x² + 9x + 9

(x² + 9)(x + 1)

200

2x³ - 5x² - 4x + 10

(x² - 2)(2x - 5)

300

x³ + 6x² - 14x - 84

(x² - 14)(x + 6)

400

4x³ + 3x² - 28x - 21

(x² - 7)(4x + 3)

500

-x⁶ - 2x⁵ - 16x⁴ - 32x³

-x³(x + 2)(x² + 16)