Let `=|A xx^2 1B y y^2 1C z z^2 1|` and `_1=|A B C x y z y z z xx y|` , then show that `_1=` .

Answer

Proved

Explanation

\begin{aligned}
&\Delta=\left|\begin{array}{lll}
\mathrm{Ax} & \mathrm{x}^{2} & 1 \\
\mathrm{By} & \mathrm{y}^{2} & 1 \\
\mathrm{Cz} & \mathrm{z}^{2} & 1
\end{array}\right|\\
&\Delta_{1}=\left|\begin{array}{ccc}
\mathrm{A} & \mathrm{B} & \mathrm{C} \\
...