Factoring Sum and Difference of Cubes and 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)

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, getting GCF first

• Yes

• It is a difference of two squares

Factor 64-27a³

• (4-3a)(9a²+12a+16)

• (3a-4)(3a²+12a+16)

• (4-3a)(3a²+12a+16)

• (4-3a)³

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)

Factorize 343x³ - 125y³.

• (7x - 5y)(49x² + 35xy + 25y²)

• (7x - 5y)(49x² + 70xy + 25y²)

• (7x + 5y)(49x² - 35xy + 25y²)

• (7x - 5y)³

Identify the factoring technique: 16n^2-9

• Use long division

• Use grouping

• GCF out 16

• Use difference of two squares

• Use Sum/Difference of Two Cubes

• GCF out 8

• Use grouping

• Unfactorable

• Use difference/sum of two squares

• Use Sum/Difference of Two Cubes

x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20)