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\frac{\left(x^{2}+1x-42\right)\left(x^{2}-4\right)}{\left(x^{2}-36\right)\left(x^{2}+9x+14\right)}
Divide \frac{x^{2}+1x-42}{x^{2}-36} by \frac{x^{2}+9x+14}{x^{2}-4} by multiplying \frac{x^{2}+1x-42}{x^{2}-36} by the reciprocal of \frac{x^{2}+9x+14}{x^{2}-4}.
\frac{\left(x-6\right)\left(x-2\right)\left(x+2\right)\left(x+7\right)}{\left(x-6\right)\left(x+2\right)\left(x+6\right)\left(x+7\right)}
Factor the expressions that are not already factored.
\frac{x-2}{x+6}
Cancel out \left(x-6\right)\left(x+2\right)\left(x+7\right) in both numerator and denominator.
\frac{\left(x^{2}+1x-42\right)\left(x^{2}-4\right)}{\left(x^{2}-36\right)\left(x^{2}+9x+14\right)}
Divide \frac{x^{2}+1x-42}{x^{2}-36} by \frac{x^{2}+9x+14}{x^{2}-4} by multiplying \frac{x^{2}+1x-42}{x^{2}-36} by the reciprocal of \frac{x^{2}+9x+14}{x^{2}-4}.
\frac{\left(x-6\right)\left(x-2\right)\left(x+2\right)\left(x+7\right)}{\left(x-6\right)\left(x+2\right)\left(x+6\right)\left(x+7\right)}
Factor the expressions that are not already factored.
\frac{x-2}{x+6}
Cancel out \left(x-6\right)\left(x+2\right)\left(x+7\right) in both numerator and denominator.