## Introductory Algebra for College Students (7th Edition)

$\displaystyle \frac{x^{2}}{15}$
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. $(\displaystyle \frac{P}{Q}\cdot\frac{R}{S}=\frac{PR}{QS})$ --- No common factors here, so $\displaystyle \frac{x}{5}\cdot\frac{x}{3}=\frac{x\cdot x}{5\cdot 3}=\frac{x^{2}}{15}$