It has to be solved by using convolution theorem :

i try to separate them into 3 parts :

1/s , 1/(s-2) , 1/(s-2) but failed to get the correct answer.

May i know the correct way to solve this question ?

Thank a lots for the reply.

2. Originally Posted by Zachary
i am so sorry , the question that i showed just know is not the question i wanna ask, the new picture is the question i wanna ask. Sorry for the inconvenience!!
Then you still do the same thing as in your other question:

$h(t) = LT^{-1}\left[\frac{1}{s} \right] * LT^{-1}\left[\frac{1}{(s-2)^2} \right]$.