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\frac{v+5}{4}
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\frac{v+5}{4}
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\frac{\left(v^{2}-3v-40\right)\left(2v^{2}+10v-48\right)}{\left(v^{2}-11v+24\right)\left(8v+64\right)}
Divide \frac{v^{2}-3v-40}{v^{2}-11v+24} by \frac{8v+64}{2v^{2}+10v-48} by multiplying \frac{v^{2}-3v-40}{v^{2}-11v+24} by the reciprocal of \frac{8v+64}{2v^{2}+10v-48}.
\frac{2\left(v-8\right)\left(v-3\right)\left(v+5\right)\left(v+8\right)}{8\left(v-8\right)\left(v-3\right)\left(v+8\right)}
Factor the expressions that are not already factored.
\frac{v+5}{4}
Cancel out 2\left(v-8\right)\left(v-3\right)\left(v+8\right) in both numerator and denominator.
\frac{\left(v^{2}-3v-40\right)\left(2v^{2}+10v-48\right)}{\left(v^{2}-11v+24\right)\left(8v+64\right)}
Divide \frac{v^{2}-3v-40}{v^{2}-11v+24} by \frac{8v+64}{2v^{2}+10v-48} by multiplying \frac{v^{2}-3v-40}{v^{2}-11v+24} by the reciprocal of \frac{8v+64}{2v^{2}+10v-48}.
\frac{2\left(v-8\right)\left(v-3\right)\left(v+5\right)\left(v+8\right)}{8\left(v-8\right)\left(v-3\right)\left(v+8\right)}
Factor the expressions that are not already factored.
\frac{v+5}{4}
Cancel out 2\left(v-8\right)\left(v-3\right)\left(v+8\right) in both numerator and denominator.
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