3-3 Part 2 - Difference of Cubes/Sum 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 the expression: 8x³ - 27

Back

(2x - 3)(4x² + 6x + 9)

Front

Factor the expression: 8x³ - 1

Back

(2x - 1)(4x² + 2x + 1)

Front

Factor the expression: x³ + 1

Back

(x + 1)(x² - x + 1)

Front

What is a perfect cube?

Back

A number that can be expressed as the cube of an integer (e.g., 1, 8, 27, 64).

Front

What is a perfect square?

Back

A number that can be expressed as the square of an integer (e.g., 1, 4, 9, 16).

Front

Which number is both a perfect square and a perfect cube?

Back

64

Front

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

Back

Identify a and b in the expression a³ - b³.

Front

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

Back

Identify a and b in the expression a³ + b³.