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\frac{\left(x+3\right)\left(x+2\right)}{x^{2}-4}
Express \frac{x+3}{x^{2}-4}\left(x+2\right) as a single fraction.
\frac{\left(x+2\right)\left(x+3\right)}{\left(x-2\right)\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{x+3}{x-2}
Cancel out x+2 in both numerator and denominator.
\frac{\left(x+3\right)\left(x+2\right)}{x^{2}-4}
Express \frac{x+3}{x^{2}-4}\left(x+2\right) as a single fraction.
\frac{\left(x+2\right)\left(x+3\right)}{\left(x-2\right)\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{x+3}{x-2}
Cancel out x+2 in both numerator and denominator.