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MathNet 2005 — Part 03 Question 25

Math Olympiad Vault · MathNet 2005 — Part 03

Question 25

Let $a$, $b$ be positive integers that are prime to each other. What is the maximum value that the greatest common divisor between $(a+b)^4$ and $a-b$ can take?


(A) 3

(B) 4

(C) 16

(D) 32

(E) can be as large as you like.