2
          2 s
------------------------
          2
(s + 3) (s  + 19 s + 90)


ans =

(3*exp(-3*t))/7 - 27*exp(-9*t) + (200*exp(-10*t))/7


ans =

(exp(-10*t)*(3*exp(7*t) - 189*exp(t) + 200))/7

exp(-10 t) (exp(7 t) 3 - 189 exp(t) + 200)
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                     7