Sum and Difference of Square/Cubes

Cubes & Squares

100

The cube root of 729

A. 9

200

The square root of 64.....

B. 8

300

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

C. 11

400

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

D. 10

500

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

C. 19

Diff of Squares

100

Is  x² - 36 the difference of two squares?  

A. yes

(x+6) (x-6)

200

Is x² + 25 the difference of two squares?

B. no

300

Factor x² - 100.....

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

400

Factor  x² - 81....

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

500

Simplify  (x - 6)(x + 6)....

D. x² - 36

Factor Perfect Square Trinomials

100

Is x² + 10x + 25 a perfect square?

A. Yes

200

Is 4x² + 12x + 36 a perfect square?

A. 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.......

D. (3x + 5y)²

Sum of Cubes

100

What is the formula for the sum of cubes?

D. (a+b)(a²-ab+b²)

200

Factor the sum of cubes x³+27 .......

a. (x+3)(x²-3x+9)

300

Factor using sum of cubes 64+x³.....

c. (4+x)(16-4x+x²) 

400

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

a. (10x+9)(100x² -90x+81)

500

Factor 64x³+27y³ 

b. (4x+3y)(16x²-12xy+9y²) 

Diff of Cubes

100

Factor x³-64.......

 

b. (x-4)(x²+4x+16) 

200

Factor 8x³-512......

b. (2x-8)(4x²-16x+64) 

300

 Factor  1000x³-1 ......

d. (10x-1)(100x²+10x+1)

400

Factor   125x³-8........

d. (5x-2)(25x²+10x+4)