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Multinomial Theorem

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Multinomial Theorem. It is the generalization of the binomial theorem from binomials to multinomials. A q n n a n evolution of wolfram 2 3 every 10th step.

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In particular the expansion is given by where n 1 n 2 n k n and n. Recall from the binomial theorem page that for all x y in mathbb r and for n in 0 1 2. When the result is true and when the result is the binomial theorem.

It is the generalization of the binomial theorem from binomials to multinomials.

The multinomial theorem extends 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. Case i. By the binomial theorem this becomes.

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