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## Main Question or Discussion Point

Given nonzero whole numbers n, prove

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I figured this out numerically, but lack the skills to solve it analytically (no doubt by induction) and could not find it in my table of summations. I'm too old for this to be homework.

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^{3}+2^{3}+3^{3}+...+n^{3}=(1+2+...n)^{2}I figured this out numerically, but lack the skills to solve it analytically (no doubt by induction) and could not find it in my table of summations. I'm too old for this to be homework.