I'm stuck on a seemingly simple part of a proof (a proof showing there are no non zero solutions of the equation a^2 + b^2 = 3(s^2 + t^2)(adsbygoogle = window.adsbygoogle || []).push({});

at one step it says if

a^2 + b^2 = 3(s^2 + t^2) this implies

both a and b must be divisible by 3.

I tried to prove this myself but have had no luck...

any ideas?

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# Prove a^2 + b^2 = 3(s^2 + t^2) implies both a and b must are divisible by 3

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