How do I expand F(s) using partial fractions for Laplace transform?

[xzibition8612]

Homework Statement

I'm taking the Laplace transform of F(s), and the first thing is to expand it by partial fraction or something so that I can match F(s) with a table of laplace transforms.

Homework Equations

The Attempt at a Solution

Does partial fraction even work? I've got two variables s and w so I doubt it. How do I do this? Just brute force trying to factor it out or something?

 

[rock.freak667]

Your fractions should be for the form A/s + B/s^2 + [Cs+D]/(s^2+w^2)