Matrix!

Algebra Level 4

\[ \Delta_{x} = \begin{vmatrix} x & x^2 & 2x+1 \\ 2x+1 & 2x^2-1 & 4x+2 \\ x^2+x & x^3+x^2 & 2x^2+3x+2 \end{vmatrix} \] Then find value of : \[ \displaystyle\sum_{x=1}^{10} \Delta_x \]

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