Let x and y be coprime positive integers. Prove gcd(x + y, x² + y²) E {1, 2}.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 2E
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Transcribed Image Text:Let x and y be coprime positive integers. Prove gcd(x + y, x² + y²) E {1, 2}.
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