Sum/Difference of Cubes and Grouping

Which number is both a perfect square and a perfect cube?

• 64

• 27

• 81

• 16

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)

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 the sum of cubes:

x³ + 27

• (x + 3) (x² - 3x + 9)

• (x - 3) (x² + 3x + 9)

• (x + 3)(x + 9)

• Prime

  (can't be factored)

Factor the difference of cubes.

x³ - 125

• (x + 5)(x² - 5x + 25)

• (x + 5)(x - 5)

• (x - 5)(x² + 5x + 25)

• (x-5)(x-5)(x-5)

8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x - 1)(2x² + 2x + 1)

• (2x - 1)(2x² + x + 2)

• (4x-1)(16x² + 4x + 1)

125x³ - 64

• (5x - 4)(25x² + 20x + 16)
• (5x + 2)(25x² - 10x + 4)
• (3x - 1)(9x² + 3x + 1)
• (4x - 3)(16x² + 12x + 9)

Fully Factor the Following 216x³+343

• (6x+7)³

• (6x-7)(36x²+42x+49)

• (6x+7)(6x²-42x+49)

• (6x+7)(36x²-42x+49)

Factor by grouping.

x³ - 5x² + 8x - 40

• (x²+8)(x-5)

• (x²-5)(x+8)

• (x²+5)(x-8)

• (x²-8)(x+5)

Factor by grouping.

10x³ + 5x² - 6x - 3

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• (5x²+3)(2x-1)

• (5x²-3)(2x+1)