Give a quick stream of consciousness before answering the following question. Which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-4)^2?\nOptions:\n(A) x^2\n(B) x^2+2\n(C) x^2-2x+10\n(D) x^2+2x+10\n(E) x^2+4x+5
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Avg = [(x+2)^2 + (x-4)^2] / 2\nExpanding and simplifying, (x^2 + 4x + 4 + x^2 - 8x + 16 ) / 2 = x^2 - 2x +10
The answer: (C).
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