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\frac{2\left(2x-3\right)\left(x^{2}-\frac{5}{2}x-3\right)}{2x-3}
Factor the expressions that are not already factored.
2\left(x^{2}-\frac{5}{2}x-3\right)
Cancel out 2x-3 in both numerator and denominator.
2x^{2}-5x-6
Expand the expression.
\frac{2\left(2x-3\right)\left(x^{2}-\frac{5}{2}x-3\right)}{2x-3}
Factor the expressions that are not already factored.
2\left(x^{2}-\frac{5}{2}x-3\right)
Cancel out 2x-3 in both numerator and denominator.
2x^{2}-5x-6
Expand the expression.