xyz-xy-xz+x-yz+y+z-1因式分解

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xyz-xy-xz+x-yz+y+z-1因式分解xyz-xy-xz+x-yz+y+z-1因式分解xyz-xy-xz+x-yz+y+z-1因式分解原式=xy(z-1)-x(z-1)-y(z-1)+(z-

xyz-xy-xz+x-yz+y+z-1因式分解
xyz-xy-xz+x-yz+y+z-1因式分解

xyz-xy-xz+x-yz+y+z-1因式分解
原式=xy(z-1)-x(z-1)-y(z-1)+(z-1)
=(z-1)(xy-x-y+1)
=(x-1)(y-1)(z-1)
其中用到了一个公式:ab+a+b+1=(a+1)(b+1)
ab-a-b+1=(a-1)(b-1)