Factoring

GCF

100

16x² – 12x

4x(4x - 3)

200

12x⁵ – 18x³ – 3x²

3x²(4x³ - 6x - 1)

300

15x³y² + 10x²y⁴

5x²y²(3x + 2y²)

400

x⁵ + 7x⁴y³ – 8xy⁴ + 14xy

x(x⁴ + 7x³y³ - 8y⁴ +14y)

500

22x⁵y⁷ – 14x³y⁸ + 18x⁶y⁴

2x³y⁴(11x²y³ - 7y⁴ + 9x³)

Binomials

100

x² + 15x + 54

(x + 9)(x + 6)

200

x² - 14x + 49

(x - 7)²

300

x² + 21x + 98

(x + 14)(x + 7)

400

x² + 23x + 132

(x + 11)(x + 12)

500

x² - 3x - 270

(x - 18)(x + 15)

Trinomials

100

x² + 4x - 32

(x + 4)(x - 8)

200

3x² - 3x - 90

3(x + 5)(x - 6)

300

-2x³ - 6x² + 56x

-2x(x - 4)(x + 7)

400

9x² + 12x + 4

(3x + 2)²

500

24x²y + 34xy + 12y

2y(3x + 2)(4x + 3)

Difference of Cubes

100

x³ - 125

(x - 5)(x² + 5x +25)

200

27x³ - 1

(3x - 1)(9x² + 3x + 1)

300

125x³ - 27y³

(5x - 3y)(25x² + 15xy + 9y²)

400

64x³ - 8y³

8(2x - y)(4x² + 2xy + y²)

500

-3x³ + 192y³

-3(x - 4y)(x² + 4xy + 16y²)

Sum of Cubes

100

x³ + 1

(x + 1)(x² - x + 1)

200

343x³ + 27

(7x + 3)(49x² - 21x + 9)

300

448x³ + 189

7(4x + 3)(16x² - 12x + 9)

400

27x³ + 8y³

(3x + 2y)(9x² - 6xy + 4y²)

500

16x³ + 432y³

16(x + 3y)(x² - 3xy + 9y²)