Multiply Divide Rational Expressions

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**Question**

Multiply $ \frac{11x-10}{11x^{2}+x-10}\cdot\frac{x^{2}+4x+3}{11x-5}$

**Answer**

$ \frac{11x-10}{11x^{2}+x-10}\cdot\frac{x^{2}+4x+3}{11x-5}$

$= \frac{(11x-10)}{\left(11x-10\right)\left(x+1\right)}\cdot\frac{\left(x+3\right)\left(x+1\right)}{(11x-5)}$

$=\frac{x+3}{11x-5}$