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\frac{\left(2x^{3}+7x^{2}+6x\right)\left(6x^{2}-11x+3\right)}{\left(3x^{2}+5x-2\right)\left(4x^{3}-9x\right)}
Divide \frac{2x^{3}+7x^{2}+6x}{3x^{2}+5x-2} by \frac{4x^{3}-9x}{6x^{2}-11x+3} by multiplying \frac{2x^{3}+7x^{2}+6x}{3x^{2}+5x-2} by the reciprocal of \frac{4x^{3}-9x}{6x^{2}-11x+3}.
\frac{x\left(2x-3\right)\left(3x-1\right)\left(x+2\right)\left(2x+3\right)}{x\left(2x-3\right)\left(3x-1\right)\left(x+2\right)\left(2x+3\right)}
Factor the expressions that are not already factored.
1
Cancel out x\left(2x-3\right)\left(3x-1\right)\left(x+2\right)\left(2x+3\right) in both numerator and denominator.
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