Common Factor
Grouping
Difference of Squares
Sum or Difference of Cubes
Random
100

6x-11

11(6x-1)

100

3x2-2x+6x+4

(x+2)(3x+2)

100

z2-16

(z+4)(z-4)

100

x3-8

(x-2)(x2+2x+4)

100
75x+15

15(5x+1)

200

20p+5q-5

5(4p+q-1)

200

x3+5x+x2+5

(x2+5)(x+1)

200

36x2-49

(6x+7)(6x-7)

200

t3+64

(t+4)(t2-4t+16)

200

x3+6x2+x+6

(x2+1)(x+6)

300

27x3-6x2+12x

3x(9x2-2x+4)

300

2x4-3x2+4x2-6

(x2+2)(2x2-3)

300

16-9x2

(4+3x)(4-3x)

300

27x3-1

(3x-1)(9x2+3x+1)

300
z2-16
(z+4)(z-4)
400

16m9+16m7+40m3

8m3(2m6+2m4+5)

400

x3+7x2+x+7

(x2+1)(x+7)

400

100-x2y2

(10-xy)(10+xy)

400

a3b3+64

(ab+4)(a2b2-4ab+16)

400

64x8y6+72x4y4-48x2y2

8x2y2(8x6y4+9x2y2-6)

500

12x9y8-12x7y5-8x3y2

4x3y2(3x6y6-3x4y3-2)

500

15x2+18x-25x-30

(3x-5)(5x+6)

500

9k2-49m2

(3k+7m)(3k-7m)

500

343d3+1

(7d+1)(49d2-7d+1)

500

1000y3+729

(10y+9)(100y2-90y+81)