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Is a3 plus b3 plus c3 always greater than a plus b plus c?

Updated: 8/19/2019
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13y ago

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If the digits "3" in the question are intended to be superscripts, the answer is no. The sum of the cubes will be less than the sum of the base numbers if all the base numbers are less than 1 and sometimes will be less in other circumstances.

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Q: Is a3 plus b3 plus c3 always greater than a plus b plus c?
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