factorize x^12-y^12
x^12 - y^12 =
(x^6 - y^6) (x^6 + y^6) =
(x^3 - y^3)(x^3 + y^3)(x^6 + y^6) =
(x -y)(x + y)(x^2 + xy + y^2)(x^2 -xy + y^2)([x^2]^3 + [y^2]^3)
(x -y)(x + y)(x^2 + xy + y^2)(x^2 -xy + y^2)(x^2 + y^2)(x^4 - x^2*y^2 + y^4)
Oh - you beat me to it