因式分解:x乘x-x+y乘y+y-2xy-6

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因式分解:x乘x-x+y乘y+y-2xy-6
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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。