Determinants can be tiresome 2

Algebra Level 4

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