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\frac{w^{2}-\left(21w-108\right)}{w-9}
Since \frac{w^{2}}{w-9} and \frac{21w-108}{w-9} have the same denominator, subtract them by subtracting their numerators.
\frac{w^{2}-21w+108}{w-9}
Do the multiplications in w^{2}-\left(21w-108\right).
\frac{\left(w-12\right)\left(w-9\right)}{w-9}
Factor the expressions that are not already factored in \frac{w^{2}-21w+108}{w-9}.
w-12
Cancel out w-9 in both numerator and denominator.
\frac{w^{2}-\left(21w-108\right)}{w-9}
Since \frac{w^{2}}{w-9} and \frac{21w-108}{w-9} have the same denominator, subtract them by subtracting their numerators.
\frac{w^{2}-21w+108}{w-9}
Do the multiplications in w^{2}-\left(21w-108\right).
\frac{\left(w-12\right)\left(w-9\right)}{w-9}
Factor the expressions that are not already factored in \frac{w^{2}-21w+108}{w-9}.
w-12
Cancel out w-9 in both numerator and denominator.