If x, y, z are different and `Delta=|xx^2 1+x^3y y^2 1+y^3z z^2 1+z^3|=0`, then

Explanation

To solve the problem, we need to evaluate the determinant given by

\[
\Delta = \begin{vmatrix}
x & x^2 & 1 + x^3 \\
y & y^2 & 1 + y^3 \\
z & z^2 & 1 + z^3
\end{vmatrix}
...