The value of the determinant `|[x, x+y, x+2y], [x+2y, x,x+y],[x+y, x+2y, x]|` is (a) `9x^2(x+y)` (b) `9y^2(x+y)` (c) `3y^2(x+y)` (d) `7x^2(x+y)`

Explanation

To find the value of the determinant

\[
D = \begin{vmatrix}
x & x+y & x+2y \\
x+2y & x & x+y \\
x+y & x+2y & x
\end{vmatrix}
...