SAT Newly Defined Functions

For any numbers mm and nn, let mnm \oplus n be defined as mn=mn+n2m \oplus n= m-n+n^{2}. Which of the following will never be negative?

I. aa a \oplus a
II. (a+b)b(a+b) \oplus b
III. (a+b)(a+b)(a+b) \oplus (a+b)

(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II, and III


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