Multiply Divide Rational Expressions

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**Question**

Multiply $ \frac{x+1}{x^{2}-2x-3}\cdot\frac{7x^{2}-9x-36}{3x-8}$

**Answer**

$ \frac{x+1}{x^{2}-2x-3}\cdot\frac{7x^{2}-9x-36}{3x-8}$

$= \frac{(x+1)}{\left(x+1\right)\left(x-3\right)}\cdot\frac{\left(x-3\right)\left(7x+12\right)}{(3x-8)}$

$=\frac{7x+12}{3x-8}$