SAT Numbers

Let \(x\) and \(y\) be integers. If \(x + y\) is odd, which of the following is true about \((x+y)^{2}+xy?\)

(A) It is even.
(B) It is odd.
(C) It is even if \(x\) is even.
(D) It is even if \(y\) is even.
(E) It is even if \(xy\) is negative.

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