Without expanding a determinant at any stage, show that \( \left|\begin{array}{ccc}x^{2}+x & x+1... VIDEO
Without expanding a determinant at any stage, show that \( \left|\begin{array}{ccc}x^{2}+x & x+1 & x-2 \\ 2 x^{2}+3 x-1 & 3 x & 3 x-3 \\ x^{2}+2 x+3 & 2 x-1 & 2 x-1\end{array}\right|=x A+B \), where \( A \& B \) are determinant of order 3 not involving \( x \).
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