一道美国数学题 Factor each of the following completely. Make sure to use only positive exponents. Reduce all fractions. 指数都是二分之一 求答案!急!

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一道美国数学题 Factor each of the following completely. Make sure to use only positive exponents. Reduce all fractions. 指数都是二分之一 求答案!急!
一道美国数学题

 

Factor each of the following completely. Make sure to use only positive exponents. Reduce all fractions.

   

 

 

指数都是二分之一  求答案!急!

一道美国数学题 Factor each of the following completely. Make sure to use only positive exponents. Reduce all fractions. 指数都是二分之一 求答案!急!
分子分母同乘以√(x+1)√(x-1)即√(x²-1)
= [√(x-1)√(x-1) - √(x+1)√(x+1)]/[2(x-1)√(x²-1)]
= [(x-1) - (x+1)]/[2(x-1)√(x²-1)]
= -1/[(x-1)√(x²-1)]
It's not easy to type fractions as superscript,so square root was used instead.

这是你心目中美国的数学题吧？专门留着给外星人做的

根号2x(x-1)

你的怎么有-1/2啊？我按都是1/2做啦，原式=[1/2（x^2-1）^1/2-1/2(x^2-1)^1/2]/(x-1)=0

两个括号中间那个1/2是啥？乘？

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