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\frac{c^{2}-\left(14c-49\right)}{c-7}
Since \frac{c^{2}}{c-7} and \frac{14c-49}{c-7} have the same denominator, subtract them by subtracting their numerators.
\frac{c^{2}-14c+49}{c-7}
Do the multiplications in c^{2}-\left(14c-49\right).
\frac{\left(c-7\right)^{2}}{c-7}
Factor the expressions that are not already factored in \frac{c^{2}-14c+49}{c-7}.
c-7
Cancel out c-7 in both numerator and denominator.
\frac{c^{2}-\left(14c-49\right)}{c-7}
Since \frac{c^{2}}{c-7} and \frac{14c-49}{c-7} have the same denominator, subtract them by subtracting their numerators.
\frac{c^{2}-14c+49}{c-7}
Do the multiplications in c^{2}-\left(14c-49\right).
\frac{\left(c-7\right)^{2}}{c-7}
Factor the expressions that are not already factored in \frac{c^{2}-14c+49}{c-7}.
c-7
Cancel out c-7 in both numerator and denominator.