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