Factoring Differences of Cubes

Factor the difference of cubes.

x³ - 125

• (x + 5)(x² - 5x + 25)

• (x + 5)(x - 5)

• (x - 5)(x² + 5x + 25)

• prime

Tags

CCSS.HSA.APR.C.4

27x³ - 1

• (3x - 1)(9x² + 3x + 1)

• (2x - 1)(4x² + 2x + 1)

• (3x - 2)(9x² + 6x + 4)

• (4x + 1)(16x² + 4x + 1)

Tags

CCSS.HSA.APR.C.4

x³ + 64

• (x + 3)(x² - 3x + 9)

• (x + 5)(x² - 5x + 25)

• (x + 4)(x² - 4x + 16)

• (x - 4)(x² + 4x + 16)

Tags

CCSS.HSA.APR.C.4

8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (3x - 1)(9x² + 3x + 1)

• (3x - 2)(9x² + 6x + 4)

• (x - 3)(4x² - 6x + 9)

Tags

CCSS.HSA.APR.C.4

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4

125x³ - 64

• (5x - 4)(25x² + 20x + 16)

• (5x + 2)(25x² - 10x + 4)

• (3x - 1)(9x² + 3x + 1)

• (4x - 3)(16x² + 12x + 9)

Tags

CCSS.HSA.APR.C.4

k³ - 27

• (k - 3)³

• (k - 3)(k² + 3k + 9)

• (k + 3)(k² - 3k + 9)

• (k - 3)(k² - 3k + 9)

Tags

CCSS.HSA.APR.C.4

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)

Tags

CCSS.HSA.APR.C.4

x³ - 1000

• (x + 10)(x² - 10x + 100)

• (x - 10)(x² + 10x + 100)

• (x - 1)(x² + 1x + 1)

• (x - 5)(x² + 5x + 25)

Tags

CCSS.HSA.APR.C.4

Complete the formula
a³-b³=

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Tags

CCSS.6.EE.A.2C