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How would you do proof by cases for the following?   3|x^3 - x

How would you do proof by cases for the following?   3|x^3 - x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How would you do proof by cases for the following?

 

3|x^3 - x



I know for this problem have to use mod and that pascal triangle should help and work.

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Step 1: Introduction of the given problem

We have to prove 3 vertical line x cubed minus x

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