Factoring Sum and Differences of Cubes

Factor
27x³-64

• (3x-4)(9x²+12x+16)

• (3x-4)(9x²-12x+16)

• (3x+4)(9x²-12x+16)

• (3x+4)(9x²+12x+16)

Fully Factor the Following
216x³+125

• 6(x+5)³

• (6x+5)³

• (6x+5)(6x²-30x+25)

• (6x+5)(36x²-30x+25)

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)

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

• No

• Yes

• Yes, getting GCF first

• It is a sum of squares

Factor this sum of cubes: 2x³ + 128

• 2(x³ + 64)

• (x + 4)(x² - 4x + 16)

• 2(x - 4)(x² + 4x + 16)

• 2(x + 4)(x² - 4x + 16)

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 using differencesum/ of cubes.  (use your notes!)
a³ + b³

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27X³-343?

• DIFFERENCE OF TWO CUBES

• DIFFERENCE OF TWO SQUARES

• FACTORING BY GCF

• SUM OF TWO CUBES

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF   27X³-343? 

• DIFFERENCE OF TWO CUBES

• DIFFERENCE OF TWO SQUARES 

• FACTORING BY GCF 

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