已知1/x-1/y=4,求(2x+xy-2y)/(x-2xy-y)的值
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 15:05:28
![已知1/x-1/y=4,求(2x+xy-2y)/(x-2xy-y)的值](/uploads/image/z/977805-45-5.jpg?t=%E5%B7%B2%E7%9F%A51%2Fx-1%2Fy%EF%BC%9D4%2C%E6%B1%82%EF%BC%882x%EF%BC%8Bxy%EF%BC%8D2y%EF%BC%89%2F%EF%BC%88x%EF%BC%8D2xy%EF%BC%8Dy%EF%BC%89%E7%9A%84%E5%80%BC)
已知1/x-1/y=4,求(2x+xy-2y)/(x-2xy-y)的值
已知1/x-1/y=4,求(2x+xy-2y)/(x-2xy-y)的值
已知1/x-1/y=4,求(2x+xy-2y)/(x-2xy-y)的值
1/x-1/y=4,所以y-x=4xy
1/x-1/y=4
∴y-x=4xy
(2x+xy-2y)/(x-2xy-y)
=[2(x-y)+xy]/[(x-y)-2xy]
=(-8xy+xy)/(-4xy-2xy)
=-7xy/(-6xy)
=7/6