Chapter A.5, Problem 23AYU

To determine

To find: Simplify the given in factored form.

Answer to Problem 23AYU

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

Explanation of Solution

Given:

$\frac{x}{x^2-4}+\frac{1}{x}$

Calculation:

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