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-\frac{6}{x-2}
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-\frac{6}{x-2}
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\frac{\left(2-8\right)\left(x^{2}-4\right)}{\left(x+2\right)\left(x^{2}-4x+4\right)}
Divide \frac{2-8}{x+2} by \frac{x^{2}-4x+4}{x^{2}-4} by multiplying \frac{2-8}{x+2} by the reciprocal of \frac{x^{2}-4x+4}{x^{2}-4}.
\frac{-6\left(x^{2}-4\right)}{\left(x+2\right)\left(x^{2}-4x+4\right)}
Subtract 8 from 2 to get -6.
\frac{-6\left(x-2\right)\left(x+2\right)}{\left(x+2\right)\left(x-2\right)^{2}}
Factor the expressions that are not already factored.
\frac{-6}{x-2}
Cancel out \left(x-2\right)\left(x+2\right) in both numerator and denominator.
\frac{\left(2-8\right)\left(x^{2}-4\right)}{\left(x+2\right)\left(x^{2}-4x+4\right)}
Divide \frac{2-8}{x+2} by \frac{x^{2}-4x+4}{x^{2}-4} by multiplying \frac{2-8}{x+2} by the reciprocal of \frac{x^{2}-4x+4}{x^{2}-4}.
\frac{-6\left(x^{2}-4\right)}{\left(x+2\right)\left(x^{2}-4x+4\right)}
Subtract 8 from 2 to get -6.
\frac{-6\left(x-2\right)\left(x+2\right)}{\left(x+2\right)\left(x-2\right)^{2}}
Factor the expressions that are not already factored.
\frac{-6}{x-2}
Cancel out \left(x-2\right)\left(x+2\right) in both numerator and denominator.
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