[xy+y²/5x²-5xy+xy+y²]*5x/x+y-y/x-y 分式 过程
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/26 00:54:39
[xy+y²/5x²-5xy+xy+y²]*5x/x+y-y/x-y 分式 过程
![[xy+y²/5x²-5xy+xy+y²]*5x/x+y-y/x-y 分式 过程](/uploads/image/z/20247773-5-3.jpg?t=%5Bxy%2By%26%23178%3B%2F5x%26%23178%3B-5xy%2Bxy%2By%26%23178%3B%5D%2A5x%2Fx%2By-y%2Fx-y+%E5%88%86%E5%BC%8F+%E8%BF%87%E7%A8%8B)
[(xy+y²)/(5x²-5xy)+xy+y²]*5x/(x+y)-y/(x-y)
=y(x+y)/5x(x-y)×5x/(x+y)+y(x+y)×5x/(x+y)-y/(x-y)
=y/(x-y)+5xy-y/(x-y)
=5xy
=y(x+y)/5x(x-y)×5x/(x+y)+y(x+y)×5x/(x+y)-y/(x-y)
=y/(x-y)+5xy-y/(x-y)
=5xy