### Home > PC3 > Chapter 3 > Lesson 3.1.4 > Problem3-56

3-56.

Write each rational expression as a single simplified fraction.

1. $\frac{3}{x+3}\cdot\frac{5}{x-5}$

Multiply numerator with numerator and denominator with denominator.
Then simply if possible.

1. $\frac{x+y}{x}-\frac{x-y}{y}$

Multiply the first fraction by $\frac{y}{y}$ and the second fraction by $\frac{x}{x}$, giving you a common denominator of $xy$.

1. $\left( \frac { x } { y } - \frac { y } { x } \right) \left( \large\frac { x ^ { 2 } y ^ { 2 } } { x ^ { 2 } y - x y ^ { 2 } } \right)$

Simplify the expression in the first set of parentheses by creating a common denominator. Then multiply.