Factor Cubes by Grouping

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)

27x³ - 1

• (3x - 1)(9x² + 3x + 1)

• (2x - 1)(4x² + 2x + 1)

• (3x - 2)(9x² + 6x + 4)

• (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+125

• 6(x+5)³

• (6x+5)³

• (6x+5)(6x²-30x+25)

• (6x+5)(36x²-30x+25)

Factor:   x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)

Identify the factoring technique: 32n^3+56n^2+12n+21

• Use long division

• Use grouping

• GCF out 3 then use grouping

• Use difference of two squares

• Use Sum/Difference of Two Cubes

Factor:   x³ + 512

• (x + 8)(x² - 8x + 64)

• (x + 8)(x² + 8x -64)

• (x-8)(x + 2)

• (x - 8)(x² - 8x - 64)

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

What method should you use to factor the polynomial?

• Sum of 2 Cubes

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes