Multinomial Theorem Expansion. Here we introduce the binomial and multinomial theorems and see how they are used. The multinomial theorem describes how to expand the power of a sum of more than two terms.
X1 x2 xm n σ n r1 rm 1. X 1 x 2 x k n. 8 07 math 3012 at the georgia institute of technology.
In particular the expansion is given by where n1 n2 nk n and n.
3 3 multinomial theorem theorem 3 3 0 for real numbers x1 x2 xm and non negative integers n r1 r2 rm the followings hold. B 1 b 2. For any positive integer m and any nonnegative integer n the multinomial formula tells us how a sum with m terms expands when raised to an arbitrary power n. The multinomial theorem describes how to expand the power of a sum of more than two terms.
