Factoring by Grouping and Perfect Cubes

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)

What is the factored form of 5n³-10n²+3n-6?

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

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)

Factor: x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)

What is the factored form of 4p³+8p²+3p+6?

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

What is the factored form of x³+7x²-2x-14?

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Factor:

27x³-64

• (3x-4)(9x²+12x+16)

• (3x-4)(9x²-12x+16)

• (3x+4)(9x²-12x+16)

• (3x+4)(9x²+12x+16)

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)