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\frac{m^{2}-9}{m-3}
Since \frac{m^{2}}{m-3} and \frac{9}{m-3} have the same denominator, subtract them by subtracting their numerators.
\frac{\left(m-3\right)\left(m+3\right)}{m-3}
Factor the expressions that are not already factored in \frac{m^{2}-9}{m-3}.
m+3
Cancel out m-3 in both numerator and denominator.