Determinants can be tiresome 2

Algebra Level 4

If N=n2(n+1)2(n+2)2(n+1)2(n+2)2(n+3)2(n+2)2(n+3)2(n+4)2N= \left | \begin{array}{ccc} n^{2} & (n+1)^{2} & (n+2)^{2} \\ (n+1)^{2} & (n+2)^{2} & (n+3)^{2} \\ (n+2)^2 & (n+3)^{2} & (n+4)^{2} \\ \end{array} \right | Find the value of NN.

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