Evaluate
\frac{m+6}{m-3}
Expand
\frac{m+6}{m-3}
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\frac{\left(m^{2}+14m+48\right)\left(m^{2}+3m-28\right)}{\left(m^{2}+4m-21\right)\left(m^{2}+4m-32\right)}
Divide \frac{m^{2}+14m+48}{m^{2}+4m-21} by \frac{m^{2}+4m-32}{m^{2}+3m-28} by multiplying \frac{m^{2}+14m+48}{m^{2}+4m-21} by the reciprocal of \frac{m^{2}+4m-32}{m^{2}+3m-28}.
\frac{\left(m-4\right)\left(m+6\right)\left(m+7\right)\left(m+8\right)}{\left(m-4\right)\left(m-3\right)\left(m+7\right)\left(m+8\right)}
Factor the expressions that are not already factored.
\frac{m+6}{m-3}
Cancel out \left(m-4\right)\left(m+7\right)\left(m+8\right) in both numerator and denominator.
\frac{\left(m^{2}+14m+48\right)\left(m^{2}+3m-28\right)}{\left(m^{2}+4m-21\right)\left(m^{2}+4m-32\right)}
Divide \frac{m^{2}+14m+48}{m^{2}+4m-21} by \frac{m^{2}+4m-32}{m^{2}+3m-28} by multiplying \frac{m^{2}+14m+48}{m^{2}+4m-21} by the reciprocal of \frac{m^{2}+4m-32}{m^{2}+3m-28}.
\frac{\left(m-4\right)\left(m+6\right)\left(m+7\right)\left(m+8\right)}{\left(m-4\right)\left(m-3\right)\left(m+7\right)\left(m+8\right)}
Factor the expressions that are not already factored.
\frac{m+6}{m-3}
Cancel out \left(m-4\right)\left(m+7\right)\left(m+8\right) in both numerator and denominator.
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