If `|[1, x, x^2], [x, x^2, 1], [x^2, 1, x]|=3,` then find the value of `|[x^3-1, 0, x-x^4], [0, x-x^4, x^3-1], [x-x^4, x^3-1, 0]|`

Explanation

` Delta_(c)=|{:(x^(3)-1,,0,,x-x^(4)),(0,,x-x^(4),,x^(3)-1),(x-x^(4)-1,,x^(3)-1,,0):}|`
is the determinant formed by the cofactors of determinant
`Delta = |{:(1,,x,,x^(2)),(x,,x^(2),,1),(x^(2),,1,,x):}|`
Hence `Delta_(c) =Delta^(2) =3^(2) =9`.