find the inverse laplace transform: F(s) = (s2-10s-25)/(s3-25s)

Find the inverse Laplace transform of the following functions: (a) F(s): 3s+6 s2+3s' (b) F(s) = s2+1 s(s+1)2 · Your answer must contain detailed explanation, calculation as well as logical argumentation leading to the result. If you use mathematical theorem(s)/property(-ies) that you have learned par- ticularly in this unit, clearly state them in your answer.

Find the inverse Laplace transform of 810-4-16s+10s24s³. -324-77s2|s4