# Homework Help: Simplify a rational function

1. Aug 11, 2012

### LoA

1. The problem statement, all variables and given/known data

u^2
---------------
u^2 - 4

2. Relevant equations

I am told that this is equal to

1+ 4/u^2 - 4

3. The attempt at a solution

No clue how these two are related. Factor out a u^2/u^2? But that alters the denominator. My next that is partial fraction decomp. Am I on track?

2. Aug 11, 2012

### eumyang

Use polynomial long division. Or, note that in the numerator,
$u^2 = \left( u^2 - 4 \right) + 4$.

3. Aug 11, 2012