Sum and Difference of Cubes

Front

What is the formula for factoring the sum of cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

What is the formula for factoring the difference of cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

Factor the sum of cubes: 8 + 27.

Back

(2 + 3)(4 - 6 + 9) = (5)(7)

Front

Factor the difference of cubes: 64 - 27.

Back

(4 - 3)(16 + 12 + 9) = (1)(37)

Front

Factor the sum of cubes: x³ + 1.

Back

(x + 1)(x² - x + 1)

Front

Factor the difference of cubes: 27x³ - 64.

Back

(3x - 4)(9x² + 12x + 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.

Front

How do you identify a and b in the expression 216x³ + 125?

Back

a = 6x, b = 5.

Front

What is the result of factoring 216x³ + 125?

Back

(6x + 5)(36x² - 30x + 25)

Front

What is the result of factoring 8x³ - 27?

Back

(2x - 3)(4x² + 6x + 9)