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A good example of where I have trouble is 3.20. This theorem uses a few different identities derived from the binomial theorem which I am not familiar with and and it is hard for me to just learn in the context of these proofs.

A good example of where I have no trouble is theorem 3.31. This theorem requires just a straightforward use of the binomial theorem itself which I am fine with.

Is there a good textbook or website to get me up to date on these identities involving the binomial theorem?