Prove the following proposition: For all integers a and b, if 3 divides (a² + b²), then 3 divides a and 3 divides b.
Prove the following proposition: For all integers a and b, if 3 divides (a² + b²), then 3 divides a and 3 divides b.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 4TFE: Label each of the following statement as either true or false.
only if
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