# How do you simplify x/(x^2+1)divx/(x^4-1) and state the domain?

##### 1 Answer
Nov 11, 2016

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

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

$y = {x}^{2} - 1$

The domain will be $\left\{x | x \in \mathbb{R} , x \ne \pm 1 , 0\right\}$

Hopefully this helps!