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\frac{\left(-x\right)^{1}}{x^{2}-9}\times \frac{x^{2}+3x}{x^{2}-4}
Combine x and -2x to get -x.
\frac{-x}{x^{2}-9}\times \frac{x^{2}+3x}{x^{2}-4}
Calculate -x to the power of 1 and get -x.
\frac{-x\left(x^{2}+3x\right)}{\left(x^{2}-9\right)\left(x^{2}-4\right)}
Multiply \frac{-x}{x^{2}-9} times \frac{x^{2}+3x}{x^{2}-4} by multiplying numerator times numerator and denominator times denominator.
\frac{-\left(x+3\right)x^{2}}{\left(x-3\right)\left(x-2\right)\left(x+2\right)\left(x+3\right)}
Factor the expressions that are not already factored.
\frac{-x^{2}}{\left(x-3\right)\left(x-2\right)\left(x+2\right)}
Cancel out x+3 in both numerator and denominator.
\frac{-x^{2}}{x^{3}-3x^{2}-4x+12}
Expand the expression.
\frac{\left(-x\right)^{1}}{x^{2}-9}\times \frac{x^{2}+3x}{x^{2}-4}
Combine x and -2x to get -x.
\frac{-x}{x^{2}-9}\times \frac{x^{2}+3x}{x^{2}-4}
Calculate -x to the power of 1 and get -x.
\frac{-x\left(x^{2}+3x\right)}{\left(x^{2}-9\right)\left(x^{2}-4\right)}
Multiply \frac{-x}{x^{2}-9} times \frac{x^{2}+3x}{x^{2}-4} by multiplying numerator times numerator and denominator times denominator.
\frac{-\left(x+3\right)x^{2}}{\left(x-3\right)\left(x-2\right)\left(x+2\right)\left(x+3\right)}
Factor the expressions that are not already factored.
\frac{-x^{2}}{\left(x-3\right)\left(x-2\right)\left(x+2\right)}
Cancel out x+3 in both numerator and denominator.
\frac{-x^{2}}{x^{3}-3x^{2}-4x+12}
Expand the expression.