for all integers a, b, and c, if a divides b and a divides c, then a divides (b2-c2). prove this proposition using the definition of divides.
for all integers a, b, and c, if a divides b and a divides c, then a divides (b2-c2). prove this proposition using the definition of divides.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 24E: Let , and be integers . Prove or disprove that implies.
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for all integers a, b, and c, if a divides b and a divides c, then a divides (b2-c2).
prove this proposition using the definition of divides.
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