I need to find the inverse Laplace transform of
$$F(s) =\dfrac{e^{\frac{K(1+K)}{1+K+s\Omega}+\frac{K(1+K)}{1+K+s\Omega\kappa}}}{(1+K+s\Omega)(1+K+s\Omega\kappa)}$$
where $K, \Omega, \kappa$ are constant. I need to find the inverse Laplace transform of this expression, i.e., find ${\cal L}^{-1}\left[F(s)\right]$.
Is there any publication of this issue? Thank you.