2x^2-xy-y^2+13x+8y-7的因式分解

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2x^2-xy-y^2+13x+8y-7的因式分解

2x^2-xy-y^2+13x+8y-7的因式分解
2x^2-xy-y^2+13x+8y-7的因式分解

2x^2-xy-y^2+13x+8y-7的因式分解
原式=(2x+y)(x-y)+7(2x+y)-(x-y)-7
=(2x+y-1)(x-y+7)

(2x+1-y)(x-y+7)

原式
=(2x+y)(x-y)+13x+8y-7
=(2x+y+m)(x-y+n)
mn=-7
m+2n=13
n-m=8
m=-1,n=7
原式
=(2x+y-1)(x-y+7)

2x^2-xy-y^2+13x+8y-7=(2x+y)(x-y)+7(2x+y)-(x-y)-7
=(2x+y)(x-y)-(x-y)+7(2x+y)-7=(x-y)(2x+y-1)+7(2x+y-1)
=(2x+y-1)(x-y+7)