Hello this is the question I need help with a bit confused show all work please

Question

This is the question using partial fraction and laplace transform tables find h(t) if H(s) = 1-3s/s^2+8s+21

Answer 1

No partial fractions required as H(t) = 22δ(t) -3u(t) +8δ'(t) ... I think you meant something else however