Let $Δ_1$ and $Δ_2$ be two determinants given by $Δ_1=\begin{vmatrix}x&c&-b\\-c &x&a\\b&-a&x\end{vmatrix}$ and $Δ_2=\begin{vmatrix}a^2 + x^2&ab-cx&ac + bx\\ab+cx&b^2 + x^2&bc-ax\\ac-bx& bc + ax& c^2 + x^2\end{vmatrix}$

Statement-1: $Δ_2={Δ_1}^2$

Statement-2: If A is a square matrix of order n and B is the matrix of cofactors of elements of A, then $|B|=|A|^{n-1}$.

Statement-1 is True, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. 

Clearly, statement-2 is true. 

i.e. $|adj\, A| =|A|^{n-1}$

$∴|B|=|A|^{n-1}$  $[∵|B| = |adj\, A|]$

$⇒Δ_2={Δ_1}^2$  [∵ $Δ_2$ is the determinant of] the matrix of cofactors]

Hence, both the statement are true and statement-2 is a correct explanation for statement-1.