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Factor \((x^2+y^2-z^2)^2-4x^2y^2\) as the product of four polynomials of degree 1, each of which has a positive coefficient of x.

 Jan 22, 2019

first you see that it is a difference of squares, so it is \((x^2+y^2-z^2)^2-(2xy)^2=(x^2+2xy+y^2-z^2)(x^2-2xy+y^2-z^2)=((x+y)^2-z^2)((x-y)^2-z^2).\)

Now notice you have more differences of squares, so you get your final answer as \(\boxed{(x+y+z)(x+y-z)(x-y-z)(x-y+z)}.\)


HOPE THIS HELPED! (at the start i acidentally wrote my answer in a guest account, LoL)

 Jan 22, 2019

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