# Math Help - Factorization

1. ## Factorization

Can anyone factorize this for me?

$x^4+y^4+z^4-2x^2y^2-2y^2z^2-2z^2x^2$.

Thanks.

2. Hint :

Solve $p(x,y,z)=0$ on $x^2$, its discriminant $\Delta=16y^2z^2$ is a perfect square, so you'll easily find the four roots $x_i=x_i(y,z)$ , hence $p(x,y,z)=\prod_{i=1}^4(x-x_i(y,z))$