Factor (x2+y2−z2)2−4x2y2 as the product of four polynomials of degree 1, each of which has a positive coefficient of x.
+532 first you see that it is a difference of squares, so it is (x2+y2−z2)2−(2xy)2=(x2+2xy+y2−z2)(x2−2xy+y2−z2)=((x+y)2−z2)((x−y)2−z2).
Now notice you have more differences of squares, so you get your final answer as (x+y+z)(x+y−z)(x−y−z)(x−y+z).
HOPE THIS HELPED! (at the start i acidentally wrote my answer in a guest account, LoL)
