This is more of a pre calc question but it dose however come from diff eqs, just in case I have made fundamental mistakes, i have posted it here. I have been studying this topic for few days by myself, never had any problems with algebra until here. really appreciate all of your help. 1. The problem statement, all variables and given/known data problem comes from here. [itex]y''-2y'-2y=0[/itex] with initial conditions [itex]y(0) = 2 , y'(0) = 0[/itex] I am stuck trying to decompose this line [itex]\mathcal Y(s) = (2s+4)/(s^2-2s-2)[/itex] 2. Relevant equations Laplace Transforms Tables 3. The attempt at a solution [itex]y''-2y'-2y=0[/itex] [itex]s^2\mathcal Y(s) - 2s - 2s\mathcal Y(s) -4 -2\mathcal Y(s) = 0[/itex] [itex](s^2-2s-2)\mathcal Y(s) -2s-4=0[/itex] [itex]\mathcal Y(s) = (2s+4)/(s^2-2s-2)[/itex] and stuck here.. I cant figure out how to decompose last line.