Let ∆ = 0 and ∆ c denotes the determinant of cofactors, then ∆ c = ∆ n – 1 , where n (>…

Let ∆ = 0 and ∆^c denotes the determinant of cofactors, then ∆^c = ∆^{n – 1}, where n (> 0) is the order of ∆.
On the basis of above information, answer the following questions :
If a, b, c are the roots of the equation x³ – px² + r = 0, then the value of
\[\left|\begin{array}{cccccc} b & -a^{2} & a & -b^{2} & b & -c^{2} \\ a & -b^{2} & b & -c^{2} & b & -a^{2} \\ b & -c^{2} & b & -a^{2} & a & -b^{2} \end{array}\right|\] is