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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).

 Feb 3, 2022
 #1
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Just substitute for x, y, z, expand the brackets and cancel down.

You're just left with the number 3.

 Feb 4, 2022

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