(a-1)/[a^(2/3)+a^(1/3)+1]化简等于?

问题描述:

(a-1)/[a^(2/3)+a^(1/3)+1]化简等于?

分子立方差
原式=[a^(1/3)-1][a^(2/3)+a^(1/3)+1]/[a^(2/3)+a^(1/3)+1]
=a^(1/3)-1