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!

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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