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n m+n ) (₁ - ₁) + - + ( ) ( ) = (";"). (™+"). r > a. in valid

n m+n ) (₁ - ₁) + - + ( ) ( ) = (";"). (™+"). r > a. in valid

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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a. Given m ≥ 0, n ≥ 0, and r ≥ 0, give a combinatorial proof for the identity (O)()+() (5) +--- () ()-("+") = m Note: m a (:) 0, whenever b> a. b. Prove that the following identity is valid n 2 2 2 2 n n 2n (C)² + (0)² + ( )² + · + ( )² – (2²). = Hint: Find appropriate values for m, n, and r in the identity on part (a).
Transcribed Image Text:a. Given m ≥ 0, n ≥ 0, and r ≥ 0, give a combinatorial proof for the identity (O)()+() (5) +--- () ()-("+") = m Note: m a (:) 0, whenever b> a. b. Prove that the following identity is valid n 2 2 2 2 n n 2n (C)² + (0)² + ( )² + · + ( )² – (2²). = Hint: Find appropriate values for m, n, and r in the identity on part (a).
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