Question

Factorise: $z-7+7xy-xyz$.

Answer 1

Factorize the given polynomial

$$\begin{gathered} z-7+7xy-xyz \\ =z-xyz-7+7xy \\ =z(1-xy)-7(1-xy) \\ =(z-7)(1-xy) \end{gathered}$$

Hence the factorized form of the polynomial $z-7+7xy-xyz$ is $(z-7)$$(1-xy)$.