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\frac{\left(m^{2}-16\right)\left(m+4\right)}{\left(5m+20\right)\left(m-4\right)}
Divide \frac{m^{2}-16}{5m+20} by \frac{m-4}{m+4} by multiplying \frac{m^{2}-16}{5m+20} by the reciprocal of \frac{m-4}{m+4}.
\frac{\left(m-4\right)\left(m+4\right)^{2}}{5\left(m-4\right)\left(m+4\right)}
Factor the expressions that are not already factored.
\frac{m+4}{5}
Cancel out \left(m-4\right)\left(m+4\right) in both numerator and denominator.
\frac{\left(m^{2}-16\right)\left(m+4\right)}{\left(5m+20\right)\left(m-4\right)}
Divide \frac{m^{2}-16}{5m+20} by \frac{m-4}{m+4} by multiplying \frac{m^{2}-16}{5m+20} by the reciprocal of \frac{m-4}{m+4}.
\frac{\left(m-4\right)\left(m+4\right)^{2}}{5\left(m-4\right)\left(m+4\right)}
Factor the expressions that are not already factored.
\frac{m+4}{5}
Cancel out \left(m-4\right)\left(m+4\right) in both numerator and denominator.