If we let R by any regular expression, we have the following identities. $$ R$\backslash$cup $=$R

$$ R$\backslash$epsi $=$R

However, exchanging $$ and $\backslash$epsi in the preceding identities may cause the equalities

to fail.

$$ R $\backslash$cup $\backslash$epsi may not be equal R $$ R $$ may not be equal R

Show examples demonstrating these possible failures for each of the identities. Inotherwords,giveanR$1$ andR$2$ suchthatR$1\backslash$cup $\backslash$epsi $=$R$1$ andR$2=$R$2.$