If a,b are two elements of group G then show that will be (ab)^2=a^2b^2 iff G is abelian. #addmaths

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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
Prove that a group G is abelian if and only if (ab)^2 = a^2 b^2 for all a,b ∈ G | NERDY CREW Prove that a group G is abelian if and only if (ab)^2 = a^2 b^2 for all a,b ∈ G | NERDY CREW
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Lecture 20 - If (a*b)^2 = a^2 * b^2 then G is abelian group. Lecture 20 - If (a*b)^2 = a^2 * b^2 then G is abelian group.
Show that a group G is ABELIAN iff and only if (ab)^2=(a^2)(b^2) for all a,b belongs to G Show that a group G is ABELIAN iff and only if (ab)^2=(a^2)(b^2) for all a,b belongs 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. #Show that a group G is abelian if and only if (ab)^2= a^2b^2,for all a,b belong to G.
Group G is abelian iff (ab) ^2=a^2b^2 for all a, b in G. Group G is abelian iff (ab) ^2=a^2b^2 for all a, b in G.
G is Abelian if (ab)^2 = a^2 b^2 || Imp Qus || Group Theory || Bsc Msc Math G is Abelian if (ab)^2 = a^2 b^2 || Imp Qus || Group Theory || Bsc Msc Math