I have been searching the web for the past three days but can't find the algebraic or inductive proof anywhere. Please help me, i have no idea on how to prove these.

Note: if you are not gonna solve it, then don't comment.

THANKS

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- Nov 5th 2013, 03:23 AMszak1592please prove these binomial identities?
I have been searching the web for the past three days but can't find the algebraic or inductive proof anywhere. Please help me, i have no idea on how to prove these.

Note: if you are not gonna solve it, then don't comment.

THANKS - Nov 5th 2013, 05:16 AMSlipEternalRe: please prove these binomial identities?
The purpose for this forum is to provide help so that people can learn the material on their own. I know this is not the response you wanted. But, I am willing to help you solve these problems. I just wanted to let you know that statement is not really appropriate for this forum.

What is Formula (8)? I assume it is the definition of the general binomial coefficient. By definition:

For the second equation, we can use Pascal's Rule: .

Proof by induction: , so the formula holds when . Assume the formula holds for all positive integers up to .

So, by the principle of mathematical induction, the formula holds for all positive integers . - Nov 5th 2013, 06:04 AMszak1592Re: please prove these binomial identities?
thanks a lot.....I know that forums are to help people not do their homework for them.....but it's just that I have been looking everywhere....youtube lectures, about a dozen pdfs and ppts but I just could not find these two proofs, there were three others but I found them. Anyways thank you so much!!!

Really appreciate your help. Thanks.