hi

im trying to rearrange an equation to make y the subject to then use partial fraction expansion and laplace inverses to solve.

so far i have simplified to give

y(S^4 + 3S^2 -12) = 104/s+3 -24 +12S^3 - 3S^2 + 25S -15

i know i need to divide by the bracketed terms on the left but i dont know how to do this. i.e what is (104/s+3)/(S^4 + 3S^2 -12)

do i need a common denominator

any help would be appreciated