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\frac{\left(5x+15\right)\left(x^{2}-25\right)}{\left(3x-15\right)\left(3x+9\right)}
Divide \frac{5x+15}{3x-15} by \frac{3x+9}{x^{2}-25} by multiplying \frac{5x+15}{3x-15} by the reciprocal of \frac{3x+9}{x^{2}-25}.
\frac{5\left(x-5\right)\left(x+3\right)\left(x+5\right)}{3^{2}\left(x-5\right)\left(x+3\right)}
Factor the expressions that are not already factored.
\frac{5\left(x+5\right)}{3^{2}}
Cancel out \left(x-5\right)\left(x+3\right) in both numerator and denominator.
\frac{5x+25}{9}
Expand the expression.
\frac{\left(5x+15\right)\left(x^{2}-25\right)}{\left(3x-15\right)\left(3x+9\right)}
Divide \frac{5x+15}{3x-15} by \frac{3x+9}{x^{2}-25} by multiplying \frac{5x+15}{3x-15} by the reciprocal of \frac{3x+9}{x^{2}-25}.
\frac{5\left(x-5\right)\left(x+3\right)\left(x+5\right)}{3^{2}\left(x-5\right)\left(x+3\right)}
Factor the expressions that are not already factored.
\frac{5\left(x+5\right)}{3^{2}}
Cancel out \left(x-5\right)\left(x+3\right) in both numerator and denominator.
\frac{5x+25}{9}
Expand the expression.