Sum and Difference of Cubes

Front

What is the difference of two cubes formula?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Tags

CCSS.6.EE.A.2C

Front

What is the sum of two cubes formula?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Tags

CCSS.6.EE.A.2C

Front

How do you identify a difference of cubes?

Back

A difference of cubes is an expression of the form a³ - b³, where both a and b are perfect cubes.

Tags

CCSS.8.EE.A.2

Front

How do you identify a sum of cubes?

Back

A sum of cubes is an expression of the form a³ + b³, where both a and b are perfect cubes.

Tags

CCSS.8.EE.A.2

Front

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

Back

Identify the two perfect cubes and apply the difference of cubes formula.

Tags

CCSS.HSA.APR.C.4

Front

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

Back

Identify the two perfect cubes and apply the sum of cubes formula.

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression 27a³ - 729.

Back

27a³ - 729 = (3a - 9)(9a² + 27a + 81) or (3a - 9)(3a + 9)(3a + 9) depending on the context.

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression x³ - 343.

Back

x³ - 343 = (x - 7)(x² + 7x + 49).

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression 216x³ + 125.

Back

216x³ + 125 = (6x + 5)(36x² - 30x + 25).

Tags

CCSS.HSA.APR.C.4

Front

What is a perfect cube?

Back

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

Tags

CCSS.8.EE.A.2