Sums and Differences of Cubes

Cubes and Squares

100

the cube of 729

What is 9

200

8²

What is 64

300

the cube of 1331

What is 11

400

the square root of 25 + the cube of 125

What is 10

500

the cube of 8000 - the cube of 1

What is 19

Sums of cubes 1 variable

100

x³+27

What is (x+3)(x²-3x+9)

200

x³+8

What is (x+2)(x²-2x+4)

300

a³+64

What is (a+4)(a²-4a+16)

400

27+8x³

What is (3+2x)(9-6x+4x²)

500

81x³+192

What is 3(3x+4)(9x²-12x+16)

Difference of cubes 1 variable

100

x³-64

What is (x-4)(x²+4x+16)

200

a³-216

What is (a-6)(a²+6a+36)

300

64x³-27

(4x-3)(16x²+12x+9)

400

27m³-125

(3m-5)(9m²+15m+25)

500

864-4u²

4(6-u)(36+6u+u²)

Difference of Squares

100

x²-49

(x-7)(x+7)

200

x²-81

(x-9)(x+9)

300

4x²-25

(2x-5)(2x+5)

400

9x²-64

(3x-8)(3x+8)

500

12x²-27

3(2x-3)(2x+3)