The value of \( \left|\begin{array}{lll}x & x^{2}-y z & 1 \...

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The value of \( \left|\begin{array}{lll}x & x^{2}-y z & 1 \\ y & y^{2}-z x & 1 \\ z & z^{2}-x y & 1\end{array}\right| \) is
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