计算:x-1/(x^1/3-1)-(8x+1)/(4x^2/3-2x^1/3+1)
问题描述:
计算:x-1/(x^1/3-1)-(8x+1)/(4x^2/3-2x^1/3+1)
答
公式:a³±b³=(a±b)(a²-+ab+b²)
=[x^(1/3)-1][x^(2/3)+x^(1/3)+1]/[x^(1/3)-1]-[2x^(1/3)+1][4x^(2/3)-2x^(1/3)+1]/[4x^(2/3)-2x^(1/3)+1]
=x^(2/3)+x^(1/3)+1-2x^(1/3)-1
=x^(2/3)-x^(1/3)