
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Transcribed Image Text:1. Let a, b, and c be integers, where a 0. Prove or disprove that if
a | b and a | c, then a | (b - c ).
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- Compute each of the following. a. |15| b. |15| +4 c. 3- | 17| d. |12|+|12|arrow_forward1. Let a and b be integers. Prove that GCD(a,b) divides GCD(a+b, a−b). Give an example when GCD(a,b) not equals to GCD(a+b, a−b).2. Let n be an integer. Prove that GCD(n2−n+1, n+1) equals 1 or 3. Show by examples that both values are possible.arrow_forwardLet a, b, and c, be integers. Suppose that c ≄ 0. Prove that a|b if and only if ac|ab.arrow_forward
- prove For all integers a, b, c, and d, if a|c and b|d then ab|cd.arrow_forwardProve: Let a,b,x and y be integers. If a|x and b|y then (ab)|(2xy).arrow_forward3. Which of the following operations is BOTH associative and commutative on positive integers C. a*b = 2- (Z+)? min(a,b) D. a*b = a-b A. a*b = 2b + a B. a*b = max(a,b) 3arrow_forward
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