Multiply Divide Rational Expressions

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**Question**

Multiply $ \frac{5x+6}{45x^{2}+19x-42}\cdot\frac{45x^{2}+x-28}{x-10}$

**Answer**

$ \frac{5x+6}{45x^{2}+19x-42}\cdot\frac{45x^{2}+x-28}{x-10}$

$= \frac{(5x+6)}{\left(9x-7\right)\left(5x+6\right)}\cdot\frac{\left(9x-7\right)\left(5x+4\right)}{(x-10)}$

$=\frac{5x+4}{x-10}$