Factoring Sum of Cubes and Difference of Squares and Cubes

Identify if the expression can be factored as sum or difference of cubes:

• No

• Yes, getting GCF first

• Yes

• It is a difference of two squares

Factor using sum or difference of cubes. (use your notes!)

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Complete the formula
a³-b³=

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Factor the following binomial: 8x³-27

• (2x+3)(4x²-6x+9)

• (2x-3)(4x²+6x+9)

• (2x-3)(4x²+6x-9)

• (2x-3)(2x²+6x+9)

Factor using sum or difference of cubes. (use your notes!)

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Match the following sum or difference of cubes with their factored form.

Factor: 8x³ - 1

Mathematical Equivalence

ON

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)

• (x² + 1) (x - 343)

• (x - 7) (x² + 7x + 49)

• (x² - 343) (x + 1)

Factorize 343x³ - 125y³.

• (7x - 5y)(49x² + 35xy + 25y²)

• (7x - 5y)(49x² + 70xy + 25y²)

• (7x + 5y)(49x² - 35xy + 25y²)

• (7x - 5y)³

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF   27a³-729? 

• FACTORING BY GCF 

• DIFFERENCE OF TWO SQUARES

• DIFFERENCE OF TWO CUBES 

• DIAMOND AND BOX METHOD