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Prove or disprove the following statements: For all integers a, b = Z and c = Z+, if a = b(mod c), then a² = b² (mode).

Prove or disprove the following statements: For all integers a, b = Z and c = Z+, if a = b(mod c), then a² = b² (mode).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 7TFE: Label each of the following statements as either true or false. If (a,n)=1, then a1(modn).
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Prove or disprove the following statements: For all integers a, b = Z and c = Z+, if a = b(mod c), then a² = b² (mode).
Transcribed Image Text:Prove or disprove the following statements: For all integers a, b = Z and c = Z+, if a = b(mod c), then a² = b² (mode).
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