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If n is a positive integer, prove that ...

If n is a positive integer, prove that
`sum_(r=1)^(n)r^(3)((""^(n)C_(r))/(""^(n)C_(r-1)))^(2)=((n)(n+1)^(2)(n+2))/(12)`

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The correct Answer is:
`=(n(n+1)^(2)(n+2))/(12)`
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