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12. \( (x+y+z) \) is a factor of : \[ \left|\begin{array}{ccc} x-y-z & 2 x & 2 x \\ 2 y & y-z-x & 2 y \\ 2 z & 2 z & z-x-y \end{array}\right| \]

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12. \( (x+y+z) \) is a factor of : \[ \left|\begin{array}{ccc} x-y-z & 2 x & 2 x \\ 2 y & y-z-x & 2 y \\ 2 z & 2 z & z-x-y \end{array}\right| \]
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