proof by mathematical induction with the summation operator?
$$ \sum_{k=1}^n k^3 = \left( \sum_{k=1}^n k \right)^2 $$ I can't quite understand this expression, and in fact this is my biggest difficulty in finding a solution. Can someone please explain to me ? $$ \sum_{k=1}^n k = \frac{n(n+1)} 2 $$
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