The value of $\begin{vmatrix}a&a+b&a+2b\\a+2b&a&a+b\\a+b&a+2b&a\end{vmatrix}$ is equal to

Question

$\begin{array}{1 1}(A)\;9a^2(a+b)&(B)\;9b^2(a+b)\\(C)\;a^2(a+b)&(D)\;b^2(a+b)\end{array}$