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Find regular expression for

$\left \{ a^{n}b^{m}:(n+m)\ is\ even  \right \}$.
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Naveen Kumar 3 asked Mar 31, 2019
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Show that $r = (1 + 01)^* (0 + 1^*)$ also denotes the language in $L =$ {$w∈${$0,1$}$^* : w$ has no pair of consecutive zeros}. Find two other equivalent expressions.