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\frac{2x\left(x-4\right)\left(x-2\right)}{x-2}x
Factor the expressions that are not already factored in \frac{2x^{3}-12x^{2}+16x}{x-2}.
2x\left(x-4\right)x
Cancel out x-2 in both numerator and denominator.
\left(2x^{2}-8x\right)x
Expand the expression.
2x^{3}-8x^{2}
Use the distributive property to multiply 2x^{2}-8x by x.
\frac{2x\left(x-4\right)\left(x-2\right)}{x-2}x
Factor the expressions that are not already factored in \frac{2x^{3}-12x^{2}+16x}{x-2}.
2x\left(x-4\right)x
Cancel out x-2 in both numerator and denominator.
\left(2x^{2}-8x\right)x
Expand the expression.
2x^{3}-8x^{2}
Use the distributive property to multiply 2x^{2}-8x by x.