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If a+b+c=0, what is a3+b3+c3?

Mathematics

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Step 1: Assume the question for 1 intended to ask for a3+b3+c3a^3+b^3+c^3.
The problem states that a+b+c=0a+b+c=0. We need to find the value of a2+b2+c2a^2+b^2+c^2.
However, if a+b+c=0a+b+c=0, then a2+b2+c2=−2(ab+bc+ca)a^2+b^2+c^2 = -2(ab+bc+ca). This value is not uniquely determined and is not among the options in the form given.
A common algebraic identity related to a+b+c=0a+b+c=0 is:

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