Show that a group G is ABELIAN iff and only if (ab)^2=(a^2)(b^2) for all a,b belongs to G

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Show that a group 𝐺 is an abelian iff (ab)^2=a^2b^2 ,for all a,b∈𝐺 Show that a group 𝐺 is an abelian iff (ab)^2=a^2b^2 ,for all a,b∈𝐺
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#Show that a group G is abelian if and only if (ab)^2= a^2b^2,for all a,b belong to G. #Show that a group G is abelian if and only if (ab)^2= a^2b^2,for all a,b belong to G.
If G is a group in which (ab)^2=a^2b^2 ∀ a,b∈G, then G is abelian. If G is a group in which (ab)^2=a^2b^2 ∀ a,b∈G, then G is abelian.