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Both are deriving odd length palindrome string and both are equal
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Yes, both the languages are same.

If we expand the language of LHS = {a, aba, ababa, abababa, ...}

and, if we expand the language of RHS = {a, aba,ababa, abababa, ...}

So, strings that can be drawn from both the languages are same.

Hence a(ba)* = (ab)*a

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