### Home > PC > Chapter 2 > Lesson 2.3.6 > Problem2-148

2-148.

Write the rational expression below as a single fraction in simplified form.

$\left(\frac{1}{y}-\frac{x}{y}\right)\left(\frac{1}{x}+1\right)$

Rewrite each factor with a common denominator.

$\left(\frac{1-x}{y}\right)\left(\frac{1+x}{x}\right)$

Multiply the fractions.

$\frac{1-x+x-x^2}{xy}$

Simplify.

$\frac{1-x^2}{xy}$