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\frac{\left(x-11\right)\left(x+7\right)\times 10x^{4}}{5x^{3}\left(2x-22\right)}
Divide \frac{\left(x-11\right)\left(x+7\right)}{5x^{3}} by \frac{2x-22}{10x^{4}} by multiplying \frac{\left(x-11\right)\left(x+7\right)}{5x^{3}} by the reciprocal of \frac{2x-22}{10x^{4}}.
\frac{2x\left(x-11\right)\left(x+7\right)}{2x-22}
Cancel out 5x^{3} in both numerator and denominator.
\frac{2x\left(x-11\right)\left(x+7\right)}{2\left(x-11\right)}
Factor the expressions that are not already factored.
x\left(x+7\right)
Cancel out 2\left(x-11\right) in both numerator and denominator.
x^{2}+7x
Expand the expression.
\frac{\left(x-11\right)\left(x+7\right)\times 10x^{4}}{5x^{3}\left(2x-22\right)}
Divide \frac{\left(x-11\right)\left(x+7\right)}{5x^{3}} by \frac{2x-22}{10x^{4}} by multiplying \frac{\left(x-11\right)\left(x+7\right)}{5x^{3}} by the reciprocal of \frac{2x-22}{10x^{4}}.
\frac{2x\left(x-11\right)\left(x+7\right)}{2x-22}
Cancel out 5x^{3} in both numerator and denominator.
\frac{2x\left(x-11\right)\left(x+7\right)}{2\left(x-11\right)}
Factor the expressions that are not already factored.
x\left(x+7\right)
Cancel out 2\left(x-11\right) in both numerator and denominator.
x^{2}+7x
Expand the expression.