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\frac{\left(x+2\right)x^{5}}{\left(x^{3}-x\right)\left(x^{2}-4\right)}
Divide \frac{x+2}{x^{3}-x} by \frac{x^{2}-4}{x^{5}} by multiplying \frac{x+2}{x^{3}-x} by the reciprocal of \frac{x^{2}-4}{x^{5}}.
\frac{\left(x+2\right)x^{5}}{x\left(x-2\right)\left(x-1\right)\left(x+1\right)\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{x^{4}}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}
Cancel out x\left(x+2\right) in both numerator and denominator.
\frac{x^{4}}{x^{3}-2x^{2}-x+2}
Expand the expression.
\frac{\left(x+2\right)x^{5}}{\left(x^{3}-x\right)\left(x^{2}-4\right)}
Divide \frac{x+2}{x^{3}-x} by \frac{x^{2}-4}{x^{5}} by multiplying \frac{x+2}{x^{3}-x} by the reciprocal of \frac{x^{2}-4}{x^{5}}.
\frac{\left(x+2\right)x^{5}}{x\left(x-2\right)\left(x-1\right)\left(x+1\right)\left(x+2\right)}
Factor the expressions that are not already factored.
\frac{x^{4}}{\left(x-2\right)\left(x-1\right)\left(x+1\right)}
Cancel out x\left(x+2\right) in both numerator and denominator.
\frac{x^{4}}{x^{3}-2x^{2}-x+2}
Expand the expression.