Question

If $\begin{vmatrix}1 & x & x^{2} \\ x & x^{2} & 1 \\ x^{2} & 1 & x\end{vmatrix}=3$, then the value of $\begin{vmatrix}x^{3}-1 & 0 & x-x^{4} \\ 0 & x-x^{4} & x^{3}-1 \\ x-x^{4} & x^{3}-1 & 0\end{vmatrix}$ is

Answer 1

$D_{c}=D^{2}=9$
$D_{c}=\begin{vmatrix}x^{3}-1 & 0 & x-x^{4} \\ 0 & x-x^{4} & x^{3}-1 \\ x-x^{4} & x^{3}-1 & 0\end{vmatrix}$