Multiply Divide Rational Expressions

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**Question**

Multiply $ \frac{7x-11}{5x+9}\cdot\frac{121x^{2}-22x-8}{77x^{2}-149x+44}$

**Answer**

$ \frac{7x-11}{5x+9}\cdot\frac{121x^{2}-22x-8}{77x^{2}-149x+44}$

$= \frac{7x-11}{5x+9}\cdot\frac{\left(11x+2\right)\left(11x-4\right)}{\left(11x-4\right)\left(7x-11\right)}$

$=\frac{11x+2}{5x+9}$