计算或化简:[(x-y)/(x+3y)]÷[(x²-y²)/(x²+6xy+9y²
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:2024/07/09 15:58:37
计算或化简:[(x-y)/(x+3y)]÷[(x²-y²)/(x²+6xy+9y²)]-(2y)/x+y
![计算或化简:[(x-y)/(x+3y)]÷[(x²-y²)/(x²+6xy+9y²](/uploads/image/z/17712899-35-9.jpg?t=%E8%AE%A1%E7%AE%97%E6%88%96%E5%8C%96%E7%AE%80%EF%BC%9A%5B%EF%BC%88x-y%EF%BC%89%2F%28x%2B3y%29%5D%C3%B7%5B%EF%BC%88x%26sup2%3B-y%26sup2%3B%EF%BC%89%2F%28x%26sup2%3B%2B6xy%2B9y%26sup2)
原式=[(x-y)/(x+3y)]×[(x+3y)²/(x+y)(x-y)]-2y/(x+y)
=(x+3y)/(x+y)-2y/(x+y)
=(x+3y-2y)/(x+y)
=(x+y)/(x+y)
=1
=(x+3y)/(x+y)-2y/(x+y)
=(x+3y-2y)/(x+y)
=(x+y)/(x+y)
=1