SOLUTION: Please help me solve this, Expand the following: sigma n=4 k=0 ([4 k] x^k y^4-k)

Question 975186: Please help me solve this,
Expand the following: sigma n=4 k=0 ([4 k] x^k y^4-k)

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

I'm going to take a wild guess and presume you mean:

This sum has 5 terms, one for

, one for

, and so on.

The first term where

. But

and

, so the first term is simply

The second term is where

because

and

Just follow the pattern for the other three terms. You will have to calculate

for the third term but the other two will be easy because

and

for all positive integers

John

My calculator said it, I believe it, that settles it

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