作业帮化简:[4xy(x-y)^-1 + (xy^-1 - x^-1y)/(x^-1 + y^-1)] / (x+y)^2
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/04/29 17:47:31
化简:[4xy(x-y)^-1 + (xy^-1 - x^-1y)/(x^-1 + y^-1)] / (x+y)^2
[4xy(x-y)^-1 + (xy^-1 - x^-1y)/(x^-1 + y^-1)] / (x+y)^2
=[4xy/(x-y)+(x/y-y/x)/(1/x+1/y)]/(x+y)^2
=[4xy/(x-y)+((x^2-y^2)/xy)/((x+y)/xy)]/(x+y)^2
=[4xy/(x-y)+(x-y)]/(x+y)^2
=[(4xy+(x-y)^2)/(x-y)]/(x+y)^2
=[(x^2+2xy+y^2)/(x-y)]/(x+y)^2
=[(x+y)^2/(x-y)]/(x+y)^2
=1/(x-y)
=[4xy/(x-y)+(x/y-y/x)/(1/x+1/y)]/(x+y)^2
=[4xy/(x-y)+((x^2-y^2)/xy)/((x+y)/xy)]/(x+y)^2
=[4xy/(x-y)+(x-y)]/(x+y)^2
=[(4xy+(x-y)^2)/(x-y)]/(x+y)^2
=[(x^2+2xy+y^2)/(x-y)]/(x+y)^2
=[(x+y)^2/(x-y)]/(x+y)^2
=1/(x-y)
xy-1+x-y
(x+y-2xy)(x+y-2)+(1-xy)²
化简xy-1-x+y
1、(-7x^y)(2x^y-3xy^3+xy) 2、((x-y)^6)/((y-x)^3)/(x-y)
xy+x+y+1因式分解
1-x-y+xy 因式分解
因式分解xy-x-y+1
xy-x-y+1因式分解
（x+y)*（x+1)-(xy+y*y)因式分解为多少
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