Sum and Difference of Cubes

Front

What is the first step when factoring an expression?

Back

Look for the GCF (Greatest Common Factor).

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).

Tags

CCSS.HSA.APR.C.4

Front

Can the expression 3x³ + 24 be factored as a sum of cubes?

Back

Yes, getting GCF first.

Tags

CCSS.HSA.APR.C.4

Front

Fully factor the expression 216x³ + 125.

Back

(6x + 5)(36x² - 30x + 25).

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression 27x³ - 64.

Back

(3x - 4)(9x² + 12x + 16).

Tags

CCSS.HSA.APR.C.4

Front

What is the result of factoring 125x³ + 8?

Back

(5x + 2)(25x² - 10x + 4).

Tags

CCSS.HSA.APR.C.4

Front

What does GCF stand for in factoring?

Back

Greatest Common Factor.

Front

What is the first step in factoring the expression 8x³ - 27?

Back

Look for the GCF.

Tags

CCSS.HSA.APR.C.4

Front

What is the result of factoring x³ - 1?

Back

(x - 1)(x² + x + 1).

Tags

CCSS.HSA.APR.B.2