I'm trying to Prove x^2 = y^2 if x = y or x = -y and I'm getting stuck.(adsbygoogle = window.adsbygoogle || []).push({});

Some different things I think are relevant but can't seem to connect together to form a proof. Am I on the right path?

Squares are non-negative. 0 ≤ a^2

x^2 - y^2 = 0

x^2 - y^2 = (x-y)(x+y)

= (x-y) * x + (x-y) * y : Distributive Law

= x^2 - xy + xy - y2 : Distributive Law

= x^2 - y^2 : Additive Inverse

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# Homework Help: Prove x^2 = y^2 if x = y or x = -y

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