因式分解:x乘x-x+y乘y+y-2xy-6

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/07 18:50:55
因式分解:x乘x-x+y乘y+y-2xy-6因式分解:x乘x-x+y乘y+y-2xy-6因式分解:x乘x-x+y乘y+y-2xy-6结果为(x-y+2)(x-y-3)过程:x*x-x+y*y+y-2x

因式分解:x乘x-x+y乘y+y-2xy-6
因式分解:x乘x-x+y乘y+y-2xy-6

因式分解:x乘x-x+y乘y+y-2xy-6
结果为(x-y+2)(x-y-3)
过程:
x*x-x+y*y+y-2xy-6
=(x*x-2xy+y*y)-(x-y)-6
=(x-y)(x-y)-(x-y)-6
=(x-y+2)(x-y-3)

=(x*x-2xy+y*y)+(y-x)-6
=(y-x)(y-x)+(y-x)-6
=(y-x-2)(y-x+3)
或者
=(x*x-2xy+y*y)-(x-y)-6
=(x-y)(x-y)-(x-y)-6
=(x-y+2)(x-y-3)
一样的结果。