2. Prove that there are no positive perfect cubes less than 1000 that are the sum of the cubes of two positive integers.
2. Prove that there are no positive perfect cubes less than 1000 that are the sum of the cubes of two positive integers.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 50E
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1000 that are the sum of the cubes of two positive integers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41e86c7c-cb7c-484d-88c9-e34d11afc3d4%2Fe2ddc0b2-f439-4e0c-a0d6-6c13b14e9ac4%2F353qpmn.jpeg&w=3840&q=75)
Transcribed Image Text:2. Prove that there are no positive perfect cubes less than
1000 that are the sum of the cubes of two positive integers.
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