### Home > PC > Chapter 2 > Lesson 2.3.4 > Problem2-115

2-115.

Simplify the following rational expressions.

1. $\left(1+\frac{x}{y}\right)\left(\frac{4y^2}{x^2-y^2}\right)$

Rewrite the first factor as a single fraction. Do this by rewriting $1$ as $\frac{y}{y}$.

$\left(\frac{y+x}{y}\right)\left(\frac{4y^2}{x^2-y^2}\right)$

Factor all expressions and simplify as in problem 2-114.

1. $\frac{x^2-6x+8}{x^2-16}\div\frac{x^2-4x+4}{x+4}$

Since you are dividing, invert the second fraction and multiply.
Be sure to factor all of the expressions and then simplify.