Hey guys. This might not be quite the right place on the forum, but here goes. I have this assignment that I have almost completed, but I can't quite figure out the last bit. Could anyone give me a helping hand?

Prove that , and (This is the sequence of fibonacci numbers: 0, 1, 1, 2, 3, 5, 8,...).

Find the partial fraction decomposition of the rational function and use it to prove Binet's formula:

(1)

Alright, I have shown that and are simple poles of and I've found out that the partial fraction decomposition of is:

(2)

I just have no idea how to use that, to show (2) from (1). Can someone give me a clue?

/Morten