Prove that rem(ab,c) = rem(rem(a,c)rem(b,c),c)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 50RE
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Prove that rem(ab,c) = rem(rem(a,c)rem(b,c),c)

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