EXERCISE 5.2.6. Prove the Multinomial Theorem: that (11+1₂+ + Im)" = Σ k₁+k₂+ +km=n (Hint: Choose arbitrary values for k₁, k2,...,km such that k₁ +k₂ + and evaluate the coefficient of r2... equation.] m n (1₁. 12.,km) II. K2.... 1≤r≤m .... +km = n, that comes from the product on the left-hand side of the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 55E
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EXERCISE 5.2.6. Prove the Multinomial Theorem: that
(11+1₂+ +xm)" =
Σ
k1+k2+ +km=n
(Hint: Choose arbitrary values for k₁, k2,...,km such that
n
(kr. 2...). II 2.
Π.
km)
1<r<m
k₁+k₂ +
... +km = n,
and evaluate the coefficient of ¹1²... that comes from the product on the left-hand side of the
equation.]
m
Transcribed Image Text:EXERCISE 5.2.6. Prove the Multinomial Theorem: that (11+1₂+ +xm)" = Σ k1+k2+ +km=n (Hint: Choose arbitrary values for k₁, k2,...,km such that n (kr. 2...). II 2. Π. km) 1<r<m k₁+k₂ + ... +km = n, and evaluate the coefficient of ¹1²... that comes from the product on the left-hand side of the equation.] m
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