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