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\frac{\left(2x^{2}+x-21\right)\left(8x+16\right)}{\left(x^{2}+2x\right)\left(x-3\right)}
Multiply \frac{2x^{2}+x-21}{x^{2}+2x} times \frac{8x+16}{x-3} by multiplying numerator times numerator and denominator times denominator.
\frac{8\left(x-3\right)\left(x+2\right)\left(2x+7\right)}{x\left(x-3\right)\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{8\left(2x+7\right)}{x}
Cancel out \left(x-3\right)\left(x+2\right) in both numerator and denominator.
\frac{16x+56}{x}
Expand the expression.
\frac{\left(2x^{2}+x-21\right)\left(8x+16\right)}{\left(x^{2}+2x\right)\left(x-3\right)}
Multiply \frac{2x^{2}+x-21}{x^{2}+2x} times \frac{8x+16}{x-3} by multiplying numerator times numerator and denominator times denominator.
\frac{8\left(x-3\right)\left(x+2\right)\left(2x+7\right)}{x\left(x-3\right)\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{8\left(2x+7\right)}{x}
Cancel out \left(x-3\right)\left(x+2\right) in both numerator and denominator.
\frac{16x+56}{x}
Expand the expression.