Grade 8 Reviewer (2nd Quarter)

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

3x³ + 24

• No

• Yes

• Yes, getting GCF first

• It is a sum of squares

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

1331a³ - 512b³

• No

• Yes, getting GCF first

• Yes

• It is a difference of two squares

Factor using sum or difference 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)

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 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)

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

Factor x³+125

• (x+5)(x²-25)

• (x-5)(x²+25)

• (x+5)(x²-5x+25)

• (x-5)(x²+5x+25)

Factor 8x³+27y³

• (2x+3y)(4x²-9y²)

• (2x+3y)(4x²-36xy+81y²)

• (2x+3y)(4x²-6xy+9y²)

• (2x-3y)(4x²+6xy+9y²)