The value of the determinant $\begin{vmatrix}x & x+y & x+2y\\x+2y & x & x+y\\x+y & x+2y & x\end{vmatrix}$ is

Question

$\begin{array}{1 1} 9x^2(x+y) \\ 9y^2(x+y) \\ 3y^2 (x+y) \\ 7x^2(x+y)\end{array}$