The Laplace Transforms

Submitted by Anonymous on Wed, 11/28/2007 - 21:50.

You just answered my question on cramster about laplace transforms
how did you get

$\frac{1}{2}(\frac{1+s^2}{(1+s^2)^2} - \frac{ s^2-1}{(s^2+1)^2})$

from

$\frac{1}{(s^2+1)^2}$