4x^2+xy-y^2-4x+5y-6因式分解
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4x^2+xy-y^2-4x+5y-6因式分解
4x^2+xy-y^2-4x+5y-6因式分解
4x^2+xy-y^2-4x+5y-6因式分解
题目是不是错了,似乎不能分呀
应该是2x²+xy-y²-4x+5y-6
用待定系数法做
因为 2x²+xy-y²=(2x-y)(x+y)
所以设2x²+xy-y²-4x+5y-6=(2x-y+a)(x+y+b)
=x²+xy-2y²+ax+ay+2bx-by+ab
=x²+xy-2y²+(a+2b)x+(a-b)y+ab
比较系数,得 a+2b=-4,a-b=5,ab=-6
解得 a=2,b=-3
所以2x²+xy-y²-4x+5y-6=(2x-y+2)(x+y-3)
题目是不是错了??
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