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

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

Back

Identify the two cubes, a³ and b³.

Front

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

Back

Identify the two cubes, a³ and b³.

Front

If a = 2 and b = 3, what is the value of a³ + b³?

Back

35

Front

If a = 2 and b = 3, what is the value of a³ - b³?

Back

-19

Front

What does it mean to factor a polynomial?

Back

To express it as a product of its factors.

Front

What is a perfect cube?

Back

A number that can be expressed as the cube of an integer.

Front

Give an example of a sum of cubes.

Back

8 + 27 = 2³ + 3³

Front

Give an example of a difference of cubes.

Back

64 - 27 = 4³ - 3³