(y/(x^2-xy)+x/(y^2-xy))除以(x-y)/(xy)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 04:08:06
(y/(x^2-xy)+x/(y^2-xy))除以(x-y)/(xy)

(y/(x^2-xy)+x/(y^2-xy))除以(x-y)/(xy)
(y/(x^2-xy)+x/(y^2-xy))除以(x-y)/(xy)

(y/(x^2-xy)+x/(y^2-xy))除以(x-y)/(xy)
[y/(x^2-xy)+x/(y^2-xy)]/(x-y)/xy
=[y/x(x-y)-x/y(x-y)]/(x-y)/xy
=[y/x(x-y)]*[xy/(x-y)]-x/y(x-y)*[xy/(x-y)]
=y^2/(x-y)^2-x^2/(x-y)^2
=(y-x)(y+x)/(x-y)^2
=-(y+x)/(x-y)
=(y+x)/(y-x)