Find the sum of the series \[ \left(1^{2}+1\right)+\left(2^{2}+2\ri...

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Find the sum of the series
\[
\left(1^{2}+1\right)+\left(2^{2}+2\right)+\left(3^{2}+3\right)+\ldots \text { to } n \text { terms. }
\]
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