Question

How do you express as a partial fraction `1/(s^2 +1)^2`?

Answer 1

The expression cannot be further decomposed.

Explanation:

We can try to find a partial fraction decomposition by finding `A, B, C, " and "D` so that:

`(As+B)/(s^2+1) +(Cs+D)/(s^2+1)^2` (as the method tells us to do),
But we get `A=0`, `B=0`, `C=0` and `D=1`, which is what we started with.