多项式定理 Multinomial theorem

（重定向自Multinomial series）

多项式定理为二项式定理的推广。 $t=2$ 时为二项式定理。

$(x_1+x_2+...+x_t)^n=\sum\frac{n!}{n_1!n_2!...n_t!}x_1^{n_1}x_2^{n_2}...x_t^{n_t}$

其中 $n_1+n_2+...+n_t=n$ 、 $0\le n_i\le n$

$n_1,n_2, n_3 ... n_t$ 是指一切满足上述条件的非负数组合。

单词	Multinomial series
释义	Multinomial series 中文百科多项式定理 Multinomial theorem （重定向自Multinomial series）多项式定理为二项式定理的推广。 $t=2$ 时为二项式定理。 $(x_1+x_2+...+x_t)^n=\sum\frac{n!}{n_1!n_2!...n_t!}x_1^{n_1}x_2^{n_2}...x_t^{n_t}$ 其中 $n_1+n_2+...+n_t=n$ 、 $0\le n_i\le n$ $n_1,n_2, n_3 ... n_t$ 是指一切满足上述条件的非负数组合。英语百科 Multinomial theorem 多项式定理（重定向自Multinomial series） In mathematics, the multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum. It is the generalization of the binomial theorem to polynomials.
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Multinomial series