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

x=0 and z = 0

x=1 and y=1

y=1 and z =0

x=1 or y=0

x=1 or z=0

xy+z=x(y+z)

xy+z=xy+xz

z=xz

z(x-1)=0

所以x=1或z=0

E

恩。。

z=xz 提取公因子那步因该为z(x-1)=0

所以x=1或z=0,选e