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\frac{c^{2}-\left(8c-16\right)}{c-4}
Since \frac{c^{2}}{c-4} and \frac{8c-16}{c-4} have the same denominator, subtract them by subtracting their numerators.
\frac{c^{2}-8c+16}{c-4}
Do the multiplications in c^{2}-\left(8c-16\right).
\frac{\left(c-4\right)^{2}}{c-4}
Factor the expressions that are not already factored in \frac{c^{2}-8c+16}{c-4}.
c-4
Cancel out c-4 in both numerator and denominator.
\frac{c^{2}-\left(8c-16\right)}{c-4}
Since \frac{c^{2}}{c-4} and \frac{8c-16}{c-4} have the same denominator, subtract them by subtracting their numerators.
\frac{c^{2}-8c+16}{c-4}
Do the multiplications in c^{2}-\left(8c-16\right).
\frac{\left(c-4\right)^{2}}{c-4}
Factor the expressions that are not already factored in \frac{c^{2}-8c+16}{c-4}.
c-4
Cancel out c-4 in both numerator and denominator.