来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/08/28 05:05:42
必修一分数指数幂运算
![](http://img.wesiedu.com/upload/7/bb/7bbd48e297cecfa6f41086e90dea8c07.jpg)
化简,符号最好易懂,不然看着有点累哦
解 原式=(x+y)(√x-√y)/(√x+√y)(√x-√y)+2xy(x√y-y√x)/(x√y-y√x)(x√y+y√x)
=(x+y)(√x-√y)/(x-y)+2xy(x√y-y√x)/xy(x-y)
=(x+y)(√x-√y)/(x-y)+2(x√y-y√x)/(x-y)
=(x√x-x√y+y√x-y√y+2x√y-2y√x)/(x-y)
=(x-y)(√x+√y)/(x-y)
=(√x+√y)