Question

$\text{Factorise the expression:}z-19+19xy-xyz$

• A. $(1-xy)(z-19)$
• B. $(1-xy)(z+19)$
• C. $(1+xy)(z-19)$
• D. $(1+xy)(z+19)$

Answer 1

The correct option is A $(1-xy)(z-19)$

$\text{Given expression :}z-19+19xy-xyz$

$\text{Taking '1' common from the first two}\text{terms and '-xy' common from the}\text{last two terms, we get}$

$z-19+19xy-xyz=1(z-19)-xy(-19+z)=1(z-19)-xy(z-19)=(1-xy)(z-19)$