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\frac{m\left(2m+1\right)}{6m\left(2m^{2}+1\right)}
Factor the expressions that are not already factored.
\frac{2m+1}{6\left(2m^{2}+1\right)}
Cancel out m in both numerator and denominator.
\frac{2m+1}{12m^{2}+6}
Expand the expression.
\frac{m\left(2m+1\right)}{6m\left(2m^{2}+1\right)}
Factor the expressions that are not already factored.
\frac{2m+1}{6\left(2m^{2}+1\right)}
Cancel out m in both numerator and denominator.
\frac{2m+1}{12m^{2}+6}
Expand the expression.