Factoring Sums and Differences of 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)

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)

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 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.

Factor: 8x³ - 1

Mathematical Equivalence

ON

the pattern for a sum or difference of cubes is ______

If a = 6x and b = 1, write a Difference of Cubes Problem that would need to then be factored.

Mathematical Equivalence

ON

Factor:   x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)