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Prove the equality 1^(2)+2^(2)+3^(2) ...

Prove the equality
`1^(2)+2^(2)+3^(2) . . .+n^(2)=.^(n+1)C_(2)+2(.^(n)C_(2)+.^(n-1)C_(2) . . .+.^(2)C_(2))`.

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