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分解因式:2x²+xy-y²-4x+5y-6

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/21 13:19:35
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)