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计算:x-1/(x^1/3-1)-(8x+1)/(4x^2/3-2x^1/3+1)

来源:学生作业帮 编辑:作业帮 分类:综合作业 时间:2024/05/21 09:53:28
计算:x-1/(x^1/3-1)-(8x+1)/(4x^2/3-2x^1/3+1)
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)