I am just trying to do partial fraction decomposition on an equation. I'm not too good with it, as far as knowing if I need just A or Ax+B, etc.
[e^(-2s) / (s^2+1)(s-1)(s+1)^2]
The Attempt at a Solution
I'm not quite sure how to work with the e^-2s, but as far as doing the partial fractions, is this right: ?
Ax+B/(s^2+1) + C/(s-1) + D/(s+1) + E/(s+1)
I really just need help with that first step, making sure I set it up right, and also on how to deal with the e^(-2s). Do I take it out and treat it as 1? Do I set what I get from the partial fraction decomposition equal to e^(-2s) or something else??