> factor(x^3-1) =
(x - 1)(x^2 + x + 1)
> factor(y^3-27) =
(y - 3)(y^2 + 3 y + 9)
> factor(x^3+y^3) =
(x + y)(x^2 - x y + y^2)
> factor(8y^3-27) =
(2y - 3)(4y^2 + 6y + 9)
> factor(x^6-y^6) =
(x - y)(x + y)(x^2 + xy + y^2)(x^2 - xy + y^2)
> factor(x^3y^3+z^3) =
(xy + z)((x^2)y^2 - xyz + z^2)
factor(ya^3 + 1) =
ya^3 + 1
> factor(x^3+1/8) =
(1/8) (2x + 1)(4x - 2x + 1)
> factor((1/8)x^3-(1/27)y^3) =
(1/216)(3x - 2y)(9x^2 + 6xy + 4y^2)
> factor(5x^3+40y^6) =
5(x + 2y^2)(x^2 - 2xy^2 + 4y^4)
