Multinomial Expansion Formula. For any positive integer m and any non negative integer n the multinomial formula tells us how a sum with m terms expands when raised to an arbitrary power n. X 1 x 2 x m n k 1 k 2 k m n n k 1 k 2 k m t 1 m x t k t displaystyle x 1 x 2 cdots x m n sum k 1 k 2 cdots k m n n choose k 1 k 2 ldots k m prod t 1 m x t k t.
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Is the factorial notation for 1 2 3 n. N n x 1 x 2 x k n b 1 b 2 b k n n b 1 b 2 b 3 b k j 1 k x j b j. In particular the expansion is given by where n 1 n 2 n k n and n.
A 2 b 2 c 2 d 2.
A 2 b 2 c 2 d 2. In particular the expansion is given by where n 1 n 2 n k n and n. A 2 b 2 c 2 d 2. Write down the squares.
