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