Check this derivation please.

s= 3t/(t^3-1)

i have worked so far into this:

(3t)(t^3-1)^-1

(-3t)(t^3-1)^-2

(-3t)/(t^3-1)^2

I am not sure if I am doing this right.

Could some one check so far and finish it off for me.

The answer should be: -3(1+2t^3)/(t^3-1)^2.

I am not sure where the top (1+2t^3) comes from please check.

p.s = sorry about the quick posts i've done thanks for the help I have recieved. Thanks