x²-4y² x+2y---------- ÷ --------分数线x²+2xy+y² x²+xyx²-4y² x+2y----------÷--------分数线x²+2xy+y² x²+xy(x+2y)(x-2y)x(x+y)=----------------(x+y)(x+y)(x+2y)(x-y)x=------(x+y)这样对了吗?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 12:28:42
x²-4y² x+2y---------- ÷ --------分数线x²+2xy+y² x²+xyx²-4y² x+2y----------÷--------分数线x²+2xy+y² x²+xy(x+2y)(x-2y)x(x+y)=----------------(x+y)(x+y)(x+2y)(x-y)x=------(x+y)这样对了吗?

x²-4y² x+2y---------- ÷ --------分数线x²+2xy+y² x²+xyx²-4y² x+2y----------÷--------分数线x²+2xy+y² x²+xy(x+2y)(x-2y)x(x+y)=----------------(x+y)(x+y)(x+2y)(x-y)x=------(x+y)这样对了吗?
x²-4y² x+2y
---------- ÷ --------分数线
x²+2xy+y² x²+xy
x²-4y² x+2y
----------÷--------分数线
x²+2xy+y² x²+xy
(x+2y)(x-2y)x(x+y)
=----------------
(x+y)(x+y)(x+2y)
(x-y)x
=------
(x+y)
这样对了吗?

x²-4y² x+2y---------- ÷ --------分数线x²+2xy+y² x²+xyx²-4y² x+2y----------÷--------分数线x²+2xy+y² x²+xy(x+2y)(x-2y)x(x+y)=----------------(x+y)(x+y)(x+2y)(x-y)x=------(x+y)这样对了吗?
[(x^2-4y^2)/(x^+2xy+y^2)]/[(x+2y)/(x^2+xy)]
=[(x-2y)(x+2y)/(x+y)^2]/[(x+2y)/x(x+y)]
=(x-2y)(x+2y)/(x+y)^2*x(x+y)/(x+2y)
=(x-2y)(x+2y)/(x+y)*x/(x+2y)
=(x-2y)/(x+y)*x
=x(x-2y)/(x+y)