作业帮已知x/y=2/3,求x²-y²/xy÷[（x+y）（x-y/x）³]÷x/y²的值
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/07 05:03:02
![已知x/y=2/3,求x²-y²/xy÷[（x+y）（x-y/x）³]÷x/y²的值](/uploads/image/z/1672947-27-7.jpg?t=%E5%B7%B2%E7%9F%A5x%2Fy%3D2%2F3%2C%E6%B1%82x%26%23178%3B-y%26%23178%3B%2Fxy%C3%B7%5B%EF%BC%88x%2By%EF%BC%89%EF%BC%88x-y%2Fx%EF%BC%89%26%23179%3B%5D%C3%B7x%2Fy%26%23178%3B%E7%9A%84%E5%80%BC)
已知x/y=2/3,求x²-y²/xy÷[（x+y）（x-y/x）³]÷x/y²的值
已知x/y=2/3,求x²-y²/xy÷[（x+y）（x-y/x）³]÷x/y²的值
已知x/y=2/3,求x²-y²/xy÷[（x+y）（x-y/x）³]÷x/y²的值
y=3x/2
=(x+y)(x-y)/xy*[x^3/(x+y)(x-y)^3]*(y^2/x)
=xy/(x-y)^2
=(3x^2/2)/(-x/2)^2
=(3/2)/(1/4)
=6