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