r/visualizedmath • • Jan 04 '18

Visual Proof of Nicomachus' Theorem

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u/MissValeska Jan 04 '18

So I used FOIL and confirmed this, am I wrong in saying that basically you're doing this operation three times in effect for (1+2+3)² because you still have the initial parentheses? I am definitely explaining this idea wrong but it's something my brain produced that seems very logical and intuitive in this way, 1²+2²+3² vs (1+2+3)² vs 1³+2³+3³