Let h(L) be a language of regular expression abe*+e(ab)*. Simplify the h(L)(a) (ab)*+eab*(b) abe*+ea*b*(c) (ab)*(d) None of the mentionedI have been asked this question in examination.My enquiry is from Reversal-Homomorphism and Inverse Homomorphism in section Properties of Regular Languages of Automata Theory

Let h(L) be a language of regular expression abe*+e(ab)*. Simplify the

1.	Let h(L) be a language of regular expression abe+e(ab). Simplify the h(L)(a) (ab)+eab(b) abe+eab(c) (ab)(d) None of the mentionedI have been asked this question in examination.My enquiry is from Reversal-Homomorphism and Inverse Homomorphism in section Properties of Regular Languages of Automata Theory
Answer» The CORRECT option is (c) (ab)* Easy EXPLANATION: abe+e(ab)(Using the IDENTITIES e=e, eE=Ee=E) =ab+(ab)=> ab will contain inside (ab), THUS =>(ab).

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