Partial fractions in binomial expansion

By using partial fractions, or otherwise, find the first three terms in the expansion of
1 / (x^2-3x-4)

Ended up with 1/5(x-4) - 1/5(x+1)
But unsure if i did the partial fractions bit right..
(Missed half the lessons on this topic and now the teacher's away..)

I assume you take the 1/5 out but how would you go about expanding that? (or more likely i've gone wrong from the start ngl)

Many thanks

The partials are fine

Binomial (x+1)^-1 and divide by 5

Do the same for the other bracket

Do the subtraction

Thanks!
So for the (x-4) bracket does it have to be divided by 4 to get x/4 -1?