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\frac{\left(x^{2}-2x-8\right)\left(3x-18\right)}{\left(3x^{2}+9x\right)\left(x+2\right)}
Multiply \frac{x^{2}-2x-8}{3x^{2}+9x} times \frac{3x-18}{x+2} by multiplying numerator times numerator and denominator times denominator.
\frac{3\left(x-6\right)\left(x-4\right)\left(x+2\right)}{3x\left(x+2\right)\left(x+3\right)}
Factor the expressions that are not already factored.
\frac{\left(x-6\right)\left(x-4\right)}{x\left(x+3\right)}
Cancel out 3\left(x+2\right) in both numerator and denominator.
\frac{x^{2}-10x+24}{x^{2}+3x}
Expand the expression.
\frac{\left(x^{2}-2x-8\right)\left(3x-18\right)}{\left(3x^{2}+9x\right)\left(x+2\right)}
Multiply \frac{x^{2}-2x-8}{3x^{2}+9x} times \frac{3x-18}{x+2} by multiplying numerator times numerator and denominator times denominator.
\frac{3\left(x-6\right)\left(x-4\right)\left(x+2\right)}{3x\left(x+2\right)\left(x+3\right)}
Factor the expressions that are not already factored.
\frac{\left(x-6\right)\left(x-4\right)}{x\left(x+3\right)}
Cancel out 3\left(x+2\right) in both numerator and denominator.
\frac{x^{2}-10x+24}{x^{2}+3x}
Expand the expression.