Problem 1 Let a and b be integers, where a 0. Prove that if a | b, then a² | b². Problem 2 Let a, b € Z, where a 0 and b

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Problem 1 Let A And B Be Integers Where A 0 Prove That If A B Then A B Problem 2 Let A B Z Where A 0 And B 1 (20.47 KiB) Viewed 28 times

Problem 1 Let a and b be integers, where a 0. Prove that if a | b, then a² | b². Problem 2 Let a, b € Z, where a 0 and b 0. Prove that if a | b and b | a, then a = b or a = -b. Problem 3 Let x, y € Z. Prove that if 3 Xx and 3 Xy, then 3 | (x² - y²). Problem 4 Let n e Z. Prove that 3 | (2n² + 1) if and only if 3 Xn.