let a,b, and c be integers such that if (a,c)=1 and (b,c)=1, then prove that (ab,c)=1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 28E: Let a be an odd integer. Prove that 8|(a21).
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let a,b, and c be integers such that if (a,c)=1 and (b,c)=1, then prove that (ab,c)=1

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