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一道美国数学题 Factor each of the followin

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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 followin
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.
再问: 能不能再帮忙看一题?会加分到15的行不?
再答: (x+1)可以消去一个, 分子分母同乘以√x: = [(x+1)/2 - 2x]/[(x+1)³√x] = (1-3x)/[2(x+1)³√x] The 1/2 in the middle is a little strange, but I treated it as the coefficient of x^(-1/2).