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 the expression: a³ + b³

Back

(a + b)(a² - ab + b²)

Front

Factor the expression: a³ - b³

Back

(a - b)(a² + ab + b²)

Front

Factor the expression: 27x³ - 64

Back

(3x - 4)(9x² + 12x + 16)

Front

Factor the expression: 2x³ + 128

Back

2(x + 4)(x² - 4x + 16)

Front

Solve the equation: 8x³ + 125 = 0

Back

x = -5/2, x = (-5 ± 5i√3)/4

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 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

How do you factor 8x³ + 125?

Back

Recognize it as a sum of cubes: (2x)³ + 5³ = (2x + 5)((2x)² - (2x)(5) + 5²).