Question

1-x(y-z)+y(z-x)+z(x-y)

Answer 1

1-xy-xz +yz-yx+zx-zy
= 1

Answer 2

$\textbf{Solution:}$

$1 - x(y - z) + y(z - x) + \\ z(x - y) \\ \\ = > 1 - xy + xz + yz - xy \\ + xz - yz \\ \\ = > 1 + 2xy + 2xz - 2yz \\ \\ = > xy(2 + 1( z )) = 0$

=> 3z

$\textbf{Hope it helps}$