If AB + BA = 0 then A^2B^3 = B^3A^2 if it is true give a short proof if it is true give a counterexample

I'm sure that the implication stated above is wrong but im struggling to give a counter-example. Anybody care to give me a hand in forming a counter-example or would you like to point out that the statement is indeed true and give me a proof of it.

Thanks.