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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F718b1378-40e4-4c32-83bc-211fc46d7de4%2F2880bcbd-9cd5-4578-9715-5228194c3d3a%2Flv2sk97_processed.jpeg&w=3840&q=75)
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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