2x^2-3xy-2y^2=0,怎么变成(2x+y)(x-2y)=0

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2x^2-3xy-2y^2=0,怎么变成(2x+y)(x-2y)=0
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2x^2-3xy-2y^2=0,怎么变成(2x+y)(x-2y)=0
2x^2-3xy-2y^2=0,怎么变成(2x+y)(x-2y)=0

2x^2-3xy-2y^2=0,怎么变成(2x+y)(x-2y)=0
交叉相乘法
1 -2
2 1
2*(-2)+1*1=-3
写的时候,按行来写,明白吗?这是简单方法.

2X^2-3xy-2y^2=2x^2-4xy+xy-2y^2=(2x^2-4xy)+(xy-2y^2)=2x(x-2y)+y(x-2y)=(x-2y)(2x+y)=0