2x²+xy-y²-4x+5y-6
=2x²+(y-4)x-y²+5y-6
=2x²+(y-4)x-(y-2)(y-3)
=(2x-y+2)(x+y-3)
两个十字相乘法:
-(y²-5y+6) 2x²+(y-4)x-(y-2)(y-3)
y -2 2x -y+2
╳ ╳
y -3 x y-3
2x²+xy-y²-4x+5y-6
=(2x²+xy-y²)-(4x-5y)-6
=(2x-y)(x+y)-(4x-5y)-6
=(2x-y+2)(x+y-3)
也是两个十字相乘法:
2x²+xy-y² (2x-y)(x+y)-(4x-5y)-6
2x -y 2x-y 2
╳ ╳
x y x+y -3