I was wondering if one was easier than the other or if it is situational.

Original problem was: y'' + 4y' + 5y = 39e^(t)sint and y(0) =-1 and y'(0) = -1

I took the LT resulting: $\displaystyle (s+5)(s-1) = 39/[(s-1)^2 +1] - s -5 $. I was wondering about the denominator, since I could set it as $\displaystyle s^2 - 2s +2 $. And then I would have to multiply that by $\displaystyle - s - 5 $. Would it be easier to do it as [(s-1)^2 +1]*[ - s -5 ]