Sum and Difference of Cubes

Front

What is the formula for the difference of cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

What is the formula for the sum of cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

Factor: 8x³ - 1

Back

(2x - 1)(4x² + 2x + 1)

Front

Factor: 27x³ + 8

Back

(3x + 2)(9x² - 6x + 4)

Front

Fully Factor: 8x³ - 27

Back

(2x - 3)(4x² + 6x + 9)

Front

Fully Factor: 216x³ + 125

Back

(6x + 5)(36x² - 30x + 25)

Front

Factor the sum of cubes: 2x³ + 128

Back

2(x + 4)(x² - 4x + 16)

Front

What is the first step in factoring a sum or difference of cubes?

Back

Identify a and b such that a³ or b³ corresponds to the terms in the expression.

Front

How do you recognize a sum of cubes?

Back

Look for two perfect cubes added together, such as a³ + b³.

Front

How do you recognize a difference of cubes?

Back

Look for two perfect cubes subtracted, such as a³ - b³.