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

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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) About Me  (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 is . 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