\( \left|\begin{array}{ccc}1+x & 1 & 1 \\ 1 & 1+y & 1 \\ 1 & 1 & 1+...
\( \left|\begin{array}{ccc}1+x & 1 & 1 \\ 1 & 1+y & 1 \\ 1 & 1 & 1+z\end{array}\right|= \)
\( \mathrm{P} \)
W
(1) \( x y z\left(1+\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right) \)
(2) \( x y z \)
(3) \( 1+\frac{1}{x}+\frac{1}{y}+\frac{1}{z} \)
(4) \( \frac{1}{x}+\frac{1}{y}+\frac{1}{z} \)
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