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)

sum more than 1 variable

100

a³+216b³

(a+6b)(a²-6ab+36b²)

200

125a³+64b³

(5a+4b)(25a²-20ab+16b²)

300

125x³+216y³

(5x+6y)(25x²-30xy+36y²)

400

81x³+24y³

3(3x+2y)(9x²-6xy+4y²)

500

32m³+500n³

4(2m+5n)(4m²-10mn+25n²)

Difference more than 1 var

100

216a³-125b³

(6a-5b)(36a²+30ab+25b²)

200

64x³-27y³

(4x-3y)(16x²+12xy+9y²)

300

54x³-2y³

2(3x-y)(9x²+3x+y²)

400

108w³-4x³

4(3w-x)(9w²+3wx+x²)

500

256x³-500y³

4(4x-5y)(16x²+20xy+25y²)