来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/11 00:53:24
6x平方+7xy+2y平方-8x-5y+2因式分解
6x^2+7xy+2y^2-8x-5y+2
=(2x+y)(3x+2y)-8x-5y+2
下面我们用待定系数法来解答
(2x+y)(3x+2y)-8x-5y+2=(2x+y+m)(3x+2y+n)
=6x^2+7xy+2y^2+(3m+2n)x+(n+2m)y+mn
mn=2
3m+2n=-8
n+2m=-5
n=-1
m=-2
(2x+y)(3x+2y)-8x-5y+2=(2x+y-2)(3x+2y-1)