XYZ-XY-XZ+X-YZ+Y+Z-1我知道答案,一定要有点拔（文字）,
问题描述：
XYZ-XY-XZ+X-YZ+Y+Z-1
我知道答案,一定要有点拔（文字）,
答
XYZ-XY-XZ+X-YZ+Y+Z-1
=XY(Z-1)-X(Z-1)-Y(Z-1)+(Z-1)
=（XY-X-Y+1)(Z-1)
=[X(Y-1)-(Y-1)](Z-1)
=(X-1)(Y-1)(Z-1)
答
XYZ-XY-XZ+X-YZ+Y+Z-1 XYZ,XY提取公因式XY； XZ,X提取公因式X；YZ,Y提取公因式Y=XY(Z-1)-X(Z-1)-Y(Z-1)+(Z-1) 提取公因式(Z-1)；=(Z-1)(XY-X-Y+1) XY,X 提取公因式X =(Z-1)[X(Y-1)-(Y-1)] 提取公...