All possible inverse laplace transform of $ (s+1)^2/(s^2+2s+1)$

Question

Well this was the question given in our previous week's test: Find all possible Inverse Laplace Tranforms of $(s+1)^2/(s^2+2s+1)$ .

I just expanded the numerator and so the function reduced to 1.And the inverse Laplace transform of $1$ is $\delta(t)$.

But I am starting to doubt if what I have done is correct or not. Because the given function is undefined at $s= -1$.

Can anyone help me with this question.

Thanks in advanced :)