6x2+xy-2y2+2x-8y-8因式分解

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/25 07:05:46
6x2+xy-2y2+2x-8y-8因式分解6x2+xy-2y2+2x-8y-8因式分解6x2+xy-2y2+2x-8y-8因式分解原式=(2x-y)(3x+2y)+2x-8y-82x-y-2×3x+

6x2+xy-2y2+2x-8y-8因式分解
6x2+xy-2y2+2x-8y-8因式分解

6x2+xy-2y2+2x-8y-8因式分解
原式=(2x-y)(3x+2y)+2x-8y-8
2x-y -2
×
3x+2y 4
x系数-6+8=2
y系数-4-4=-8、
原式=(2x-y-2)(3x+2y+4)

十字相除法
2 -1 -2
3 2 4
6x²+xy-2y²+2x-8y-8
=(2x-y-2)(3x+2y+4)

6x²+xy-2y²+2x-8y-8因式分解
原式=3x(2x-y-2)+3xy+6x+xy-2y²+2x-8y-8
=3x(2x-y-2)+4xy-2y²+8x-8y-8
=3x(2x-y-2)+2y(2x-y-2)+2y²+4y-2y²+8x-8y-8
=3x(2x-y-2)+2y(2x-y-2)+8x-4y-8
=3x(2x-y-2)+2y(2x-y-2)+4(2x-y-2)
=(2x-y-2)(3x+2y+4)