Answer
$\displaystyle \frac{5}{2}$
Work Step by Step
Step by step multiplication of rational expressions:
1. Factor completely what you can
2. Reduce (divide) numerators and denominators by common factors.
3. Multiply the remaining factors in the numerators and
multiply the remaining factors in the denominators. $(\displaystyle \frac{P}{Q}\cdot\frac{R}{S}=\frac{PR}{QS})$
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Factor what we can:
$5x+45=5(x+9)$
$2x-4=2(x-2)$
The problem becomes
$...=\displaystyle \frac{(x-2)\cdot 5(x+9)}{(x+9)\cdot 2(x-2)}\qquad $... divide out the common factors
= $\displaystyle \frac{5}{2}$
