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\frac{\left(x^{2}-4\right)\left(x-3\right)}{\left(x^{2}-x-6\right)\left(x-2\right)}
Divide \frac{x^{2}-4}{x^{2}-x-6} by \frac{x-2}{x-3} by multiplying \frac{x^{2}-4}{x^{2}-x-6} by the reciprocal of \frac{x-2}{x-3}.
\frac{\left(x-3\right)\left(x-2\right)\left(x+2\right)}{\left(x-3\right)\left(x-2\right)\left(x+2\right)}
Factor the expressions that are not already factored.
1
Cancel out \left(x-3\right)\left(x-2\right)\left(x+2\right) in both numerator and denominator.