Sum and Difference of Cubes

Front

What is the formula for the sum of cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

What is the formula for the difference of cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

Factor: x³ + 1

Back

(x + 1)(x² - x + 1)

Front

Factor: 27a³ - 729

Back

27(a³ - 27) = 27(a - 3)(a² + 3a + 9) using difference of cubes.

Front

Factor: a³ + b³

Back

(a + b)(a² - ab + b²)

Front

Factor: 8x³ - 1

Back

(2x - 1)(4x² + 2x + 1)

Front

Factor: 27x³ - 64

Back

(3x - 4)(9x² + 12x + 16)

Front

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

Back

Identify a and b such that a³ - b³ can be expressed as (a - b)(a² + ab + b²).

Front

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

Back

Identify a and b such that a³ + b³ can be expressed as (a + b)(a² - ab + b²).

Front

What is the GCF in the expression 27a³ - 729?

Back

The GCF is 27.