Finding the inverse laplace of this function: $ F(s)= \frac{s+8}{s^{2}+4s+5}$ Im trying to find the inverse laplace of : $ F(s)= \frac{s+8}{s^{2}+4s+5}$
I reached the following: $$ F(s)= \frac{s}{(s+2)^{2}+1} + 8 \times \frac{1}{(s+2)^{2}+1}$$
Now i have the 2nd term in the right form, but my first one is not so im confused on how to go about putting it :S.
So basically in the first part how do i convert $ \frac{s}{(s+2)^{2}+1} to \frac{s+2}{(s+2)^{2}+1}$ ?

Divide it as $s+2$ and $6$.
Hope that helps.
