# Math Help - Partial Fraction Decomposition

1. ## Partial Fraction Decomposition

Hi everyone,

Can someone help me with the Partial fraction decomposition of the following:

$s/((s^2+alpha^2)(s^2+omega^2))$

where alpha and omega are constants

Thanks!

2. Are they Real constants?

It looks like $\left(\frac{1}{\omega^2 - \alpha^2}\right)\cdot\left(\frac{s}{s^2 + \alpha^2}-\frac{s}{s^2 + \omega^2}\right)$

It's a little messy, but why were you struggling with it? It's pretty much standard treatment with non-factorable quadratic denominators.

3. Hi,

Thanks for replying. Yes they are real constants. Do you have a link to an example similar to this. This is my first math class since I took calculus over 10 years ago. I'm looking as to what the "A" "B" etc. are.

Thanks,

4. No, sorry. I'm sure there are such links.

For a non-factorable quadratic denominator, just start with a*s + b in the first numerator and c*s + d in the second. These are just non-constant linear factors.