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\frac{x^{2}-64}{\left(x-8\right)\left(5x+40\right)}
Express \frac{\frac{x^{2}-64}{x-8}}{5x+40} as a single fraction.
\frac{\left(x-8\right)\left(x+8\right)}{5\left(x-8\right)\left(x+8\right)}
Factor the expressions that are not already factored.
\frac{1}{5}
Cancel out \left(x-8\right)\left(x+8\right) in both numerator and denominator.