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#1 2017-03-15 10:44:38

evene
Member
Registered: 2015-10-18
Posts: 272

Finding the coefficient of [math]u^n[/math]

Let's say that I am given the product of two binomials

And I have expanded them via Newton's Binomial Theorem

I'm wondering how to find the coefficient of

in this case. And can this be generalized?

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#2 2017-03-15 10:51:33

zetafunc
Member
Registered: 2014-05-21
Posts: 1,861
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Re: Finding the coefficient of [math]u^n[/math]

You could pull out a factor of
from the second pair of parentheses, and then both of your bracketed terms are the same. It then suffices to find the coefficient of
in the expansion of
, which you can do just by using the binomial formula.

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