Using Cofactors of elements of third column, evaluate $\Delta = \begin{vmatrix} 1&x&yz \\ 1&y&zx \\ 1&z&xy \end{vmatrix}$

Question

$\begin{array}{1 1} (x+y)(y+z)(z+x) \\ (x-y(z-y)(x-z) \\ (x-y)(y-z)(z-x) \\ (y-z)(y-x)(z-x) \end{array}$