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\frac{\left(x^{2}+x-6\right)\left(x^{2}-4\right)}{\left(x^{2}-x-6\right)\left(x^{2}-9\right)}
Multiply \frac{x^{2}+x-6}{x^{2}-x-6} times \frac{x^{2}-4}{x^{2}-9} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(x+2\right)\left(x+3\right)\left(x-2\right)^{2}}{\left(x+2\right)\left(x+3\right)\left(x-3\right)^{2}}
Factor the expressions that are not already factored.
\frac{\left(x-2\right)^{2}}{\left(x-3\right)^{2}}
Cancel out \left(x+2\right)\left(x+3\right) in both numerator and denominator.
\frac{x^{2}-4x+4}{x^{2}-6x+9}
Expand the expression.
\frac{\left(x^{2}+x-6\right)\left(x^{2}-4\right)}{\left(x^{2}-x-6\right)\left(x^{2}-9\right)}
Multiply \frac{x^{2}+x-6}{x^{2}-x-6} times \frac{x^{2}-4}{x^{2}-9} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(x+2\right)\left(x+3\right)\left(x-2\right)^{2}}{\left(x+2\right)\left(x+3\right)\left(x-3\right)^{2}}
Factor the expressions that are not already factored.
\frac{\left(x-2\right)^{2}}{\left(x-3\right)^{2}}
Cancel out \left(x+2\right)\left(x+3\right) in both numerator and denominator.
\frac{x^{2}-4x+4}{x^{2}-6x+9}
Expand the expression.