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\frac{\left(x+5\right)\left(x+3\right)}{\left(x-2\right)\left(x+5\right)}
Divide \frac{x+5}{x-2} by \frac{x+5}{x+3} by multiplying \frac{x+5}{x-2} by the reciprocal of \frac{x+5}{x+3}.
\frac{x+3}{x-2}
Cancel out x+5 in both numerator and denominator.
\frac{\left(x+5\right)\left(x+3\right)}{\left(x-2\right)\left(x+5\right)}
Divide \frac{x+5}{x-2} by \frac{x+5}{x+3} by multiplying \frac{x+5}{x-2} by the reciprocal of \frac{x+5}{x+3}.
\frac{x+3}{x-2}
Cancel out x+5 in both numerator and denominator.