作业帮{[(x根号x)+(x根号y)]/(xy-y2)}-[x+(根号xy)+y]/[(x根号x)-(y根号y)] y2是指y的平方；求上述式子的值.{[(x根号x)+(x根号y)]/(xy-y2)}-[x+(根号xy)+y]/[(x根号x)-(y根号y)] 化简或计算。
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/28 00:29:28
![{[(x根号x)+(x根号y)]/(xy-y2)}-[x+(根号xy)+y]/[(x根号x)-(y根号y)] y2是指y的平方；求上述式子的值.{[(x根号x)+(x根号y)]/(xy-y2)}-[x+(根号xy)+y]/[(x根号x)-(y根号y)] 化简或计算。](/uploads/image/z/2466304-16-4.jpg?t=%7B%5B%28x%E6%A0%B9%E5%8F%B7x%29%2B%28x%E6%A0%B9%E5%8F%B7y%29%5D%2F%28xy-y2%29%7D-%5Bx%2B%28%E6%A0%B9%E5%8F%B7xy%29%2By%5D%2F%5B%28x%E6%A0%B9%E5%8F%B7x%29-%28y%E6%A0%B9%E5%8F%B7y%29%5D+y2%E6%98%AF%E6%8C%87y%E7%9A%84%E5%B9%B3%E6%96%B9%EF%BC%9B%E6%B1%82%E4%B8%8A%E8%BF%B0%E5%BC%8F%E5%AD%90%E7%9A%84%E5%80%BC.%7B%5B%28x%E6%A0%B9%E5%8F%B7x%29%2B%28x%E6%A0%B9%E5%8F%B7y%29%5D%2F%28xy-y2%29%7D-%5Bx%2B%28%E6%A0%B9%E5%8F%B7xy%29%2By%5D%2F%5B%28x%E6%A0%B9%E5%8F%B7x%29-%28y%E6%A0%B9%E5%8F%B7y%29%5D+%E5%8C%96%E7%AE%80%E6%88%96%E8%AE%A1%E7%AE%97%E3%80%82)
{[(x根号x)+(x根号y)]/(xy-y2)}-[x+(根号xy)+y]/[(x根号x)-(y根号y)] y2是指y的平方；求上述式子的值.{[(x根号x)+(x根号y)]/(xy-y2)}-[x+(根号xy)+y]/[(x根号x)-(y根号y)] 化简或计算。
{[(x根号x)+(x根号y)]/(xy-y2)}-[x+(根号xy)+y]/[(x根号x)-(y根号y)] y2是指y的平方；求上述式子的值.
{[(x根号x)+(x根号y)]/(xy-y2)}-[x+(根号xy)+y]/[(x根号x)-(y根号y)] 化简或计算。
{[(x根号x)+(x根号y)]/(xy-y2)}-[x+(根号xy)+y]/[(x根号x)-(y根号y)] y2是指y的平方；求上述式子的值.{[(x根号x)+(x根号y)]/(xy-y2)}-[x+(根号xy)+y]/[(x根号x)-(y根号y)] 化简或计算。
{[(x根号x)+(x根号y)]/(xy-y2)
=[x(根号x+根号y)]/[y(x-y)]
=x/[y(根号x-根号y)]
[x+(根号xy)+y]/[(x根号x)-(y根号y)]
=[x+(根号xy)+y]/[(根号x-根号y)(x+根号xy+y)]
=1/（根号x-根号y）
{[(x根号x)+(x根号y)]/(xy-y2)}-[x+(根号xy)+y]/[(x根号x)-(y根号y)]
=x/[y(根号x-根号y)]-1/（根号x-根号y）
=(x-y)/[y(根号x-根号y)]
=(根号x+根号y)/y
原式
=x(√x+√y)/[y(√x-√y)(√x+√y)]-[(√x)²+√xy+(√y)²)]/[(√x)³-(√y)³]
=x/[y(√x-√y)]-1/(√x-√y)
=(x-y)/[y(√x-√y)]
=(√x+√y)/y