若实数x,y满足^2-2xy+y^2+x-y-6=0.则x-y的值为

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若实数x,y满足^2-2xy+y^2+x-y-6=0.则x-y的值为若实数x,y满足^2-2xy+y^2+x-y-6=0.则x-y的值为若实数x,y满足^2-2xy+y^2+x-y-6=0.则x-y的

若实数x,y满足^2-2xy+y^2+x-y-6=0.则x-y的值为
若实数x,y满足^2-2xy+y^2+x-y-6=0.则x-y的值为

若实数x,y满足^2-2xy+y^2+x-y-6=0.则x-y的值为
x²-2xy+y²+x-y-6=0
(x-y)²+(x-y)-6=0
将(x-y)看作整体
[(x-y)-2][(x-y)+3]=0
x-y-2=0或x-y+3=0
x-y=2或x-y=-3

x²-2xy+y²+x-y-6=0
(x-y)²+(x-y)-6=0

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