Assuming every integer is either even or odd, How would I show that for any integer, the difference between it and its cube is even

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 64RE
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Assuming every integer is either even or odd, How would I show that for any integer, the difference between it and its cube is even

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