Unknown Inverse Laplace Transform

[MathsDude69]

Hey Guys.

Im trying to find an inverse laplace transform for fraction in the laplace domain but can't find it in any of my laplace pair tables. The fraction is:

1/(s + 4)(s + 4)(s + 8)

Does anybody have any suggestions?

 

[MathsDude69]

its ok I've solved it using repeated partial fraction expansion. woop woop

 

[HallsofIvy]

Why "repeated"?

$$\frac{1}{(s+4)^2(s+8)}= \frac{A}{s+4}+ \frac{B}{(s+4)^2}+ \frac{C}{s+ 8}$$