# SAT Newly Defined Functions

SAT® Math Level 2

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

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

(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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