if xy+z=x(y+z) which of the following must be true?

if xy+z=x(y+z) which of the following must be true?

Quiz

Answer/Solution

x=1 or z=0

Steps/Work

xy+z=xy+xz
z=xz
xz-z=0
z(x-1)=0
Means;
either z=0
OR
x-1=0 i.e. x=1
Answer B