分解因式:2x²+xy-y²-4x+5y-6

问题描述:

分解因式:2x²+xy-y²-4x+5y-6
我前面会分,后面“-4x+5y-6”就不会啦,

2x²+xy-y²-4x+5y-6 =(2x-y)(x+y)-4x+5y-6=(2x-y)(x+y)+2x+2y-6x+3y-6=(2x-y)(x+y)+2(x+y)-3(2x-y)-6=[(2x-y)(x+y)+2(x+y)]-[3(2x-y)+6]=(2x-y+2)(x+y)-3(2x-y+2)=(2x-y+2)(x+y-3)