---->>> (n even number)=0

--------------------------------------------------------->>>>(n odd number)

i use binomial expansion theorem but i cannot get the answer like this.....please give me hint for these problems>>>><<<<

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- Dec 14th 2013, 06:04 AMsrirahulanBinomial Expansion

**---->>> (n even number)**=0

**--------------------------------------------------------->>>>(n odd number)**

i use binomial expansion theorem but i cannot get the answer like this.....please give me hint for these problems>>>><<<< - Dec 14th 2013, 12:04 PMSlipEternalRe: Binomial Expansion
Your notation is not at all standard. I will help you rewrite it. Press Reply With Quote to see how I did it.

For the first one,

For the coefficient of , you have on the LHS. On the RHS, you need to multiply out first. Each term will be of the following form: . So, you want to add up all terms where . That means . So,

Since for all , you can rewrite the RHS as:

- Dec 14th 2013, 12:13 PMSlipEternalRe: Binomial Expansion
For the second one, do something similar with . Again, find the coefficient of on each side.