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If \(2^x + 2^y = x^2 + y^2,\) where \(x\) and \(y\) are nonnegative integers, what is the greatest possible value of \(|x - y|?\)
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Answer: D
Source: Manhattan GMAT
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Answer: D
Source: Manhattan GMAT
