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