Multiply Divide Rational Expressions

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**Question**

Multiply $ \frac{2x+3}{3x-2}\cdot\frac{4x^{2}+3x-1}{2x^{2}+5x+3}$

**Answer**

$ \frac{2x+3}{3x-2}\cdot\frac{4x^{2}+3x-1}{2x^{2}+5x+3}$

$= \frac{2x+3}{3x-2}\cdot\frac{\left(4x-1\right)\left(x+1\right)}{\left(2x+3\right)\left(x+1\right)}$

$=\frac{4x-1}{3x-2}$