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.