把(x+y)²-(x+y)-6=0怎么分解成(x+y-3)(x+y-2)=0?

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把(x+y)²-(x+y)-6=0怎么分解成(x+y-3)(x+y-2)=0?
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把(x+y)²-(x+y)-6=0怎么分解成(x+y-3)(x+y-2)=0?
把(x+y)²-(x+y)-6=0怎么分解成(x+y-3)(x+y-2)=0?

把(x+y)²-(x+y)-6=0怎么分解成(x+y-3)(x+y-2)=0?
设x+y=a那么原式就变形为
a²-a-6=0
-6=-3*2所以上式可以分解成为:(a-3)(a+2)=0所以楼主你把题写错了应该为:(x+y-3)(x+y+2)=0

交叉相乘
1 2
1 -3
(x+y-3)(x+y+2)=0

用十字相乘法进行分解。-6分解成-3×2;
(x+y)²分解成(x+y)×(x+y)用图可表示为x+y -3 x+y 2