  Find the value of the following $n \times n$ determinantes  Find the value of the following $n \times n$ determinantes  $$\begin{vmatrix} a_0+x & x & x & \ldots & x \\  x & a_0+x & x & \ldots & x \\  x & x & a_0+x & \ldots & x \\  \vdots & \vdots& &\ddots& \vdots\\ x & x & x & \ldots & a_n+x \\  \end{vmatrix}$$ $$\begin{vmatrix} a_0+x & a_0 & a_0 & \ldots & a_n \\  a_0 & a_0+x & a_0 & \ldots & a_n \\  a_0 & a_0 & a_0+x & \ldots & a_n \\  \vdots & \vdots& &\ddots& \vdots\\ a_0 & a_0 & a_0 & \ldots & a_n+x \\  \end{vmatrix}