Question: Prove the following statement: Let a, n = Z - {0} with an. If n and an are relatively prime, then a and (a

Prove the following statement: Let a, n = Z - {0} with an. If n and an are relatively prime, then a and (a - n)n are relatively prime. [Hint: Contrapositive or contradiction might be a helpful strategy. If x and y are not relatively prime, then you can assume there is a prime number p such that p/x and ply.]

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