Let x = 2012(a - b), y = 2012(b - c) and z = 2012(c - a) where a,b,c are real numbers, and assume xyz is nonzero. Compute (x^3 + y^3 + z^3)/(xyz).
Just substitute for x, y, z, expand the brackets and cancel down.
You're just left with the number 3.
