Factor polynomials by grouping
Factor Sum or Difference of Cubes
Factor Difference of two squares
Factor Trinomials
Miscellaneous
100
xy+2y+3x+6
(x+2)(y+3)
100
x3 − 64
(x − 4)(x2+ 4x + 16)
100
9x2 − 1
(3x-1)(3x+1)
100
x2+4x-32
(x-4)(x+8)
100
15x2+14x-8
(5x-2)(3x+4)
200
4x3 +2x2-2x-1
(2x+1)(2x2-1)
200
125 −x3
(5 − x)(25 + 5x +2 )
200
180m2 − 5
5(6m + 1)(6m − 1)
200
-2x3-6x2+56x
-2x(x-4)(x+7)
200
24x3− 54x
6x(2x + 3)(2x − 3)
300
2x3-3x2-2x+3
(2x-3)(x+1)(x-1)
300
8x3 + 27
(2x + 3)(4x2 − 6x + 9)
300
a2− 25b2
(a + 5b)(a − 5b)
300
24x2y+34xy+12y
2y(3x+2)(4x+3)
300
x3− 216y3
(x − 6y)(x2 + 6xy + 36y2 )
400
9x3+36x2-4x-16
(x+4)(3x-2)(3x+2)
400
−27u3 + 125
(−3u + 5)(9u2 + 15u + 25)
400
9x2 − 16y2
(3x + 4y)(3x − 4y)
400
9x2+12x+4
(3x+2)2
400
2x2+ay-ax2-2y
(x2-y)(2-a)
500
24x3-6x2+8x-2
2(4x-1)(3x2+1)
500
343m3+ 64n3
(7m + 4n)(49m2 − 28mn + 16n2)
500
4x4 m − 36y4 m
4m(x2 + 3y2)(x2− 3y2 )
500
24x2-6xy-9y2
3(2x+y)(4x-3y)
500
a3 + 343b3
(a + 7b)(a2 − 7ab + 49b2 )