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$(0+1)^*.1.(0+1) + (0+1)^*.1.(0+1)$ and $(((0^*.1^*)+1)^*(0+1)^*)^*$

I have studied Arden's theorem $R=Q+RP$ has a unique solution $R=QP^*$ and some identities like $E+RR=R$ and $E.R=R$.

I have tried something on equation (factorizing) but I'm not sure that I had the correct solution.

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    $\begingroup$ What exactly is your question? I see only statements here, but I don't see a question. $\endgroup$ – D.W. Oct 11 '17 at 0:06
  • $\begingroup$ The use of AND in a regular expression is somewhat unusual. $\endgroup$ – Rick Decker Oct 11 '17 at 2:39

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