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\frac{\left(x+6\right)\left(x-2\right)}{x^{2}-4}\left(x+2\right)
Express \frac{x+6}{x^{2}-4}\left(x-2\right) as a single fraction.
\frac{\left(x+6\right)\left(x-2\right)\left(x+2\right)}{x^{2}-4}
Express \frac{\left(x+6\right)\left(x-2\right)}{x^{2}-4}\left(x+2\right) as a single fraction.
\frac{\left(x-2\right)\left(x+2\right)\left(x+6\right)}{\left(x-2\right)\left(x+2\right)}
Factor the expressions that are not already factored.
x+6
Cancel out \left(x-2\right)\left(x+2\right) in both numerator and denominator.
\frac{\left(x+6\right)\left(x-2\right)}{x^{2}-4}\left(x+2\right)
Express \frac{x+6}{x^{2}-4}\left(x-2\right) as a single fraction.
\frac{\left(x+6\right)\left(x-2\right)\left(x+2\right)}{x^{2}-4}
Express \frac{\left(x+6\right)\left(x-2\right)}{x^{2}-4}\left(x+2\right) as a single fraction.
\frac{\left(x-2\right)\left(x+2\right)\left(x+6\right)}{\left(x-2\right)\left(x+2\right)}
Factor the expressions that are not already factored.
x+6
Cancel out \left(x-2\right)\left(x+2\right) in both numerator and denominator.