GC(Monomial)F
2x + 6y - 10z
2(x + 3y - 5z)
2ax + 6xc + ba + 3bc
(2x + b)(a + 3c)
x2 - 100
(x + 10)(x - 10)
x2 + 10x + 25
(x + 5)(x + 5) or (x + 5)2
2x(1 - y)(1 + y)
x3 + 5x2 + 7x
x(x2 + 5x + 7)
6mx - 4m + 3rx - 2r
(2m + r)(3x - 2)
25x2 - 36
(5x + 6)(5x - 6)
x2 + 18x + 32
(x + 2)(x + 16)
6x3 + 54x2 - 6x
6x(x2 + 9x - 1)
6x4 - 9x3 + 3x2
3x2(2x2 - 3x + 1)
n2 + 2n + 3mn + 6m
(n + 2)(n + 3m)
100x2 - 121y2
(10x + 11y)(10x - 11y)
x2 - 2x + 1
(x - 1)(x - 1) or (x - 1)2
5k4 + 8k3 - 4k2
k2(k + 2)(5k - 2)
2x + 3xy - 4y
Prime (unfactorable)
4u2 + v + 2uv + 2u
(2u + 1)(2u + v)
16x2 - 1
(4x + 1)(4x - 1)
9x2 + 6x + 1
(3x + 1)(3x + 1) or (3x + 1)2
8m2 - 10m + 3
Prime (unfactorable)
12x2y3z + 18x3yz3 - 36xy2z3
6xyz(2xy2 + 3x2z2 - 6yz2)
2x3 - 5xy2 - 2x2y + 5y3
(2x2 - 5y2)(x - y)
x4 - 81 (*Hint* make sure it's factored completely!)
(x2 + 9)(x + 3)(x - 3)
6x2 + 17x + 12
(2x + 3)(3x + 4)
4x4 - 4x2
4x2(x + 1)(x - 1)