数学试题讲解

证明：

\begin{aligned} | \begin{array}{llll} 1 & 1 & 1 & 1 \\ a & b & c & d \\ a^{2} & b^{2} & c^{2} & d^{2} \\ a^{4} & b^{4} & c^{4} & d^{4} \end{array} | \\ = & (a - b) (a - c) (a - d) (b - c) (b - d) (c - d) (a + b + c + d) \end{aligned}