Calculate the values of the determinants: \[ \left|\begin{array}{ccc} 1 & 1 & 1 \\ 1 & 1+x & 1 \...

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Calculate the values of the determinants:
\[
\left|\begin{array}{ccc}
1 & 1 & 1 \\
1 & 1+x & 1 \\
1 & 1 & 1+y
\end{array}\right|
\]
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