Multiply Divide Rational Expressions

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**Question**

Multiply $ \frac{x+3}{5x+6}\cdot\frac{8x^{2}+14x-15}{2x^{2}+11x+15}$

**Answer**

$ \frac{x+3}{5x+6}\cdot\frac{8x^{2}+14x-15}{2x^{2}+11x+15}$

$= \frac{x+3}{5x+6}\cdot\frac{\left(4x-3\right)\left(2x+5\right)}{\left(x+3\right)\left(2x+5\right)}$

$=\frac{4x-3}{5x+6}$