Sum and Difference of Square/Cubes

Cubes & Squares

100

The cube root of 729

A. 9

B. 10

C. 12

D. 11

200

The square root of 64.....

A. 16

B. 8

C. 2

D. 4

300

The cube root of 1331.......

A. 31

B. 12

C. 11

D. 13

400

The square root of 25 + the cube root of 125.....

A. 9

B. 4

C. 8

D. 10

500

The cube root of 8000 - the cube root of 1.....

A. 39

B. 21

C. 19

D. 20

Diff of Squares

100

Is  x² - 36 the difference of two squares?  

A. yes

B. no

200

Is x² + 25 the difference of two squares?

A. yes

B. no

300

Factor x² - 100.....

A. (x - 10)²

B. (x - 10)(x + 5)

C. (x - 10)(x + 10)

D. (x + 10)²

400

Factor  x² - 81....

A. (x - 9)(x + 9)

B. (x - 12)(x + 12)

C. (x - 9)²

D. (x + 9)²

500

Simplify  (x - 6)(x + 6)....

A. x² + 12x + 36

B. x² -12x + 36

C. x² + 36

D. x² - 36

Factor Perfect Square Trinomials

100

Is x² + 10x + 25 a perfect square?

A. yes

B. no

200

Is 4x² + 12x + 36 a perfect square?

A. yes

B. no

300

Factor 9x² + 6x + 1......

A. (3x + 1)

B. (3x + 1)² 

C. (3x - 1)²

D. (3x + 1)(3x + 6)

400

Factor 9x² + 30xy + 25y².......

A. (3x + 5y)(3x - 5y)

B. (3x - 5y)²

C. (3x + y)(3x + 25y)

D. (3x + 5y)²

Sum of Cubes

100

What is the formula for the sum of cubes?

A. (a-b)(a²-ab+b²) 

B. (a+b)(a²+ab+b²) 

C. (a-b)(a²-ab+b²) 

D. (a+b)(a²-ab+b²)

200

Factor the sum of cubes x³+27 .......

a. (x+3)(x²-3x-9)

 b. (x-3)(x²-3x-9) 

c. (x+3)(x²+3x-9) 

d. (x+3)(x²+3x+9)

300

Factor using sum of cubes 64+x³.....

a. (4+x)(16+4x+x) 

b. (4+x)(20+x) 

c. (4+x)(16+4x+x²) 

d. (4-x)(16+4x+x²)

400

Factor using sum of cubes 1000x³+ 729.....

a. (10x+9)(100x²+90x+81)

 b. (10x-9)(100x²+90x-81) 

c. (10x+9)(10x²-19x+81) 

d. (10x+9)(10x²+90x+81)

500

Factor 64x³+27y³ 

a. (4x-3y)(16x²-12xy+9) 

b. (4x+3y)(16x²-12xy+9y²) 

c. (4x+3y)(16x²+12xy+9y²) 

d. (4x+3y)(4x-12xy-9y²)

Diff of Cubes

100

Factor x³-64.......

a. (x-4)(x²-4x+16) 

b. (x-4)(x²+4x+16) 

c. (x-4)(x²+4x-16) 

d. (x-4)(x²+4x-16)

200

Factor 8x³-512......

a. (2x-8)(4x²+16x+64) 

b. (2x-8)(4x²-16x-64) 

c. (2x-5)(2x²+12x-64) 

d. (3x-4)(2x+4+10)

300

 Factor  1000x³-1 ......

a. (10x+1)(10x-11x+1) 

b. (10x-1)(100x²+10x-1)

 c. (10x-1)(100x²-10x+1) 

d. (10x-1)(100x²+10x+1)

400

Factor   125x³-8........

a. (5x-2)(25x²-10x-4) 

b. (5x+2)(25x²+10x+4) 

c. (5x+2)(25x²+10x-4) 

d. (5x-2)(25x²+10x+4)