第2038题：一个特殊行列式
计算行列式
∣x−1−1−1−11x+111−1−1x−1−1111x+1∣\begin{vmatrix} x-1 & -1 & -1 & -1\\ 1 & x+1 & 1 & 1 \\ -1 & -1 & x-1 & -1 \\ 1 & 1 & 1 & x+1 \end{vmatrix}∣∣∣∣∣∣∣∣x−11−11−1x+1−11−11x−11−11−1x+1∣∣∣∣∣∣∣∣
A. 4x4x4x
B. x4x^4x4
C. 4(x−1)4(x-1)4(x−1)
D. (x−1)4(x-1)^4(x−1)4
