(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If G is a group such that (a*b)^2=(a^2)*(b^2) for all a,b in G, show that G must be abelian.

3. The attempt at a solution

First, I tried to expand the binomial (a*b)^2 and set it equal to (a^2)*(b^2). But then I didn't know where to go from there.

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# Homework Help: Abelian group

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