Factoring Sum and Differences of Cubes

27x³ - 1

• (3x - 1)(9x² + 3x + 1)

• (2x - 1)(4x² + 2x + 1)

• (3x - 2)(9x² + 6x + 4)

• (4x + 1)(16x² + 4x + 1)

Factor the sum of cubes. 27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Factor:   x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)

Factor the difference of cubes.

x³ - 125

• (x + 5)(x² - 5x + 25)

• (x + 5)(x - 5)

• (x - 5)(x² + 5x + 25)

• prime

Factor using sum or difference of cubes. (use your notes!)

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Factor using sum or difference of cubes. (use your notes!)

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Match the following sum or difference of cubes with their factored form.

x³ + 64

• (x + 3)(x² - 3x + 9)

• (x + 5)(x² - 5x + 25)

• (x + 4)(x² - 4x + 16)

• (x - 4)(x² + 4x + 16)

8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (3x - 1)(9x² + 3x + 1)

• (3x - 2)(9x² + 6x + 4)

• (x - 3)(4x² - 6x + 9)

Fully Factor the Following
8x³-27

• (2x+3)(4x²-6x+9)

• (2x-3)(4x²+6x+9)

• (2x-3)(4x²+6x-9)

• (2x-3)(2x²+6x+9)