11-15 Sum 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: x³ - 343

Back

(x - 7)(x² + 7x + 49)

Front

Factor the expression: 64x³ + 1

Back

(4x + 1)(16x² - 4x + 1)

Front

Factor the expression: 2x³ + 128

Back

2(x + 4)(x² - 4x + 16)

Front

Fully factor the expression: 216x³ + 125

Back

(6x + 5)(36x² - 30x + 25)

Front

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

Back

Identify the cube roots of the terms.

Front

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

Back

Identify the cube roots of the terms.

Front

How do you recognize a sum of cubes?

Back

It can be expressed in the form a³ + b³.

Front

How do you recognize a difference of cubes?

Back

It can be expressed in the form a³ - b³.