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Multinomial Theorem

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Multinomial Theorem. When the result is true and when the result is the binomial theorem. In mathematics the multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum.

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Proving the multinomial theorem by induction for a positive integer and a non negative integer. Recall from the binomial theorem page that for all x y in mathbb r and for n in 0 1 2. Here n and r are both non negative integer.

Case i.

Recall from the binomial theorem page that for all x y in mathbb r and for n in 0 1 2. Case i. It is the generalization of the binomial theorem from binomials to multinomials. When the result is true and when the result is the binomial theorem.

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