Multinomial Theorem - Pure Mathematics - Algebra Dictionary Definition The generalization of the binomial theorem that expands (x1 + x2 + ... + xm)^n as a sum over all m-tuples of nonnegative integers (k1,...,km) with sum n, with coefficients given by the multinomial coefficients n!/(k1!...km!).
Multinomial Theorem - Pure Mathematics - Algebra Dictionary Definition The generalization of the binomial theorem that expands (x1 + x2 + ... + xm)^n as a sum over all m-tuples of nonnegative integers (k1,...,km) with sum n, with coefficients given by the multinomial coefficients n!/(k1!...km!).