x√x+x√y)/(xy-y2)-(x+√xy+y)/(x√x-y√y)化简希望大家帮下忙 .请把中间过程写完整......

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/17 08:28:35
x√x+x√y)/(xy-y2)-(x+√xy+y)/(x√x-y√y)化简希望大家帮下忙.请把中间过程写完整......x√x+x√y)/(xy-y2)-(x+√xy+y)/(x√x-y√y)化简希

x√x+x√y)/(xy-y2)-(x+√xy+y)/(x√x-y√y)化简希望大家帮下忙 .请把中间过程写完整......
x√x+x√y)/(xy-y2)-(x+√xy+y)/(x√x-y√y)化简
希望大家帮下忙 .
请把中间过程写完整......

x√x+x√y)/(xy-y2)-(x+√xy+y)/(x√x-y√y)化简希望大家帮下忙 .请把中间过程写完整......
令x^1/2=z,y^1/2=w,
原式=(z^3+z^2w)/(z^2w^2-w^4)-(z^2+zw+w^2)/(z^3-w^3)
=(z^3+z^2w-w^3-w^2z)/(z^2w^2-w^4)
=[(z^3-w^3)+(z^2w-w^2z)]/(z^2w^2-w^4)
=(z^2+2zw+w^2)(z-w)/w^2(z-w)(z+w)
=(z+w)/w^2
=(√x+√y)/y