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

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Answer 1 · 2015-09-26T04:42:19

The expression cannot be further decomposed.

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.

How do you express as a partial fraction 1/(s^2 +1)^21/(s^2 +1)^2?