Free Printable FACTORING SUM OR DIFFERENCE OF TWO CUBES

1.

Complete the formula
a³-b³=

a)

(a-b)(a²+ab+b²)

b)

(a+b)(a²-ab+b²)

c)

(a-b)(a²-ab+b²)

d)

(a+b)(a²+ab+b²)

2.

Complete the formula

a³+b³=

a)

(a-b)(a²+ab+b²)

b)

(a+b)(a²-ab+b²)

c)

(a-b)(a²-ab+b²)

d)

(a+b)(a²+ab+b²)

3.

Factor: x³+ 1

a)

(x + 1)³

b)

(x+1)(x²- x + 1)

c)

(x - 1) (x² + x - 1)

d)

(x + 1)(x² - 2x + 1)

4.

Factor: 8x³ - 1

a)

(2x - 1)(4x² + 2x + 1)

b)

(2x + 1)(4x² - 2x + 1)

c)

(2x - 1)(4x² - 2x - 1)

d)

(2x + 1)(4x² +2x + 1)

5.

Factor
27x³-64

a)

(3x-4)(9x²+12x+16)

b)

(3x-4)(9x²-12x+16)

c)

(3x+4)(9x²-12x+16)

d)

(3x+4)(9x²+12x+16)

6.

Factor completely $64x^6+y^6$

a)

$\left(4x^2+y^2\right)\left(16x^4-4x^2y^2-y^4\right)$

b)

$\left(4x^2-y^2\right)\left(16x^4+4x^2y^2+y^4\right)$

c)

$\left(4x^2+y^2\right)\left(16x^4-4x^2y^2+y^4\right)$

d)

$\left(4x^2-y^2\right)\left(16x^4-4x^2y^2-y^4\right)$

7.

Factor $27x^3-64$

a)

$\left(3x+4\right)\left(9x^2-12x+16\right)$

b)

$\left(3x+4\right)\left(9x^2+12x+16\right)$

c)

$\left(3x-4\right)\left(9x^2-12x+16\right)$

d)

$\left(3x-4\right)\left(9x^2+12x+16\right)$

8.

Factor 64-27a³

a)

(4-3a)(9a²+12a+16)

b)

(3a-4)(3a²+12a+16)

c)

(4-3a)(3a²+12a+16)

d)

(4-3a)³

9.

Fully Factor the Following
8x³-27

a)

(2x+3)(4x²-6x+9)

b)

(2x-3)(4x²+6x+9)

c)

(2x-3)(4x²+6x-9)

d)

(2x-3)(2x²+6x+9)

10.

Factor the following binomial: 8x³-27

a)

(2x+3)(4x²-6x+9)

b)

(2x-3)(4x²+6x+9)

c)

(2x-3)(4x²+6x-9)

d)

(2x-3)(2x²+6x+9)

11.

Which of the following is the complete factored form of $x^3y^9+1000$

a)

$\left(xy^3+10\right)\left(x^2y^6-10xy^3+100\right)$

b)

$\left(xy^{ }+10\right)\left(x^2y^2-10xy^{ }+100\right)$

c)

$\left(xy^3-10\right)\left(x^2y^6+10xy^3+100\right)$

d)

$\left(xy^3-10\right)\left(x^2y^6-20xy^3+100\right)$

12.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

13.

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

3x³ + 24

a)

No

b)

Yes

c)

Yes, getting GCF first

d)

It is a sum of squares

14.

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

a)

DIFFERENCE OF TWO CUBES

b)

DIFFERENCE OF TWO SQUARES

c)

FACTORING BY GCF

d)

SUM OF TWO CUBES

15.

What must be multiplied to $\left(5x^2+2y\right)$ to get a product of $125x^6+8y^3$ ?

a)

$\left(5x^2+2y\right)$

b)

$\left(5x^2-2y\right)$

c)

$\left(5x^4+10x^2y+2y^2\right)$

d)

$\left(25x^4-10x^2y+4y^2\right)$

FACTORING SUM OR DIFFERENCE OF TWO CUBES

Total questions: 15

Worksheet time: 50mins

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