The value of the determinant \( \left|\begin{array}{ccc}x & x+y & x...

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The value of the determinant \( \left|\begin{array}{ccc}x & x+y & x+2 y \\ x+2 y & x & x+y \\ x+y & x+2 y & x\end{array}\right| \) is
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(A) \( 9 x^{2}(x+y) \)
(B) \( 9 y^{2}(x+y) \)
(C) \( 3 y^{2}(x+y) \)
(D) \( 7 x^{2}(x+y) \)
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