(a的三分之四次方-8乘a的三分之一次方乘b)除以(4乘b的三分之二次方+2乘三次根号下ab)+a的三分之二次方
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解决时间 2021-02-01 10:10
- 提问者网友:爱了却不能说
- 2021-01-31 09:25
(a的三分之四次方-8乘a的三分之一次方乘b)除以(4乘b的三分之二次方+2乘三次根号下ab)+a的三分之二次方
最佳答案
- 五星知识达人网友:长青诗
- 2021-01-31 10:52
(a的三分之四次方-8乘a的三分之一次方乘b)除以(4乘b的三分之二次方+2乘三次根号下ab)+a的三分之二次方
=(a^(4/3)-8a^(1/3)b)/(4b^(2/3)+2a^(1/3)b^(1/3))+a^(2/3)
=a^(1/3)(a-8b)/(2b^(1/3)( 2b^(1/3)+a^(1/3)))+a^(2/3)
=[a^(1/3)/2b^(1/3)]( a^(1/3)+2b^(1/3))(a^(2/3)-2a^(1/3)b^(1/3)+4b^(2/3))/(( a^(1/3)+2b^(1/3)))+a^(2/3)
=[a^(1/3)/2b^(1/3)](a^(2/3)-2a^(1/3)b^(1/3)+4b^(2/3)) +a^(2/3)
=[(a -2a^(2/3)b^(1/3)+4a^(1/3)b^(2/3)]/2b^(1/3) +a^(2/3)
=[(a -2a^(2/3)b^(1/3)+4a^(1/3)b^(2/3) +2a^(2/3)b^(1/3)]/2b^(1/3)
=[(a +4a^(1/3)b^(2/3) ]/2b^(1/3)
=(a^(4/3)-8a^(1/3)b)/(4b^(2/3)+2a^(1/3)b^(1/3))+a^(2/3)
=a^(1/3)(a-8b)/(2b^(1/3)( 2b^(1/3)+a^(1/3)))+a^(2/3)
=[a^(1/3)/2b^(1/3)]( a^(1/3)+2b^(1/3))(a^(2/3)-2a^(1/3)b^(1/3)+4b^(2/3))/(( a^(1/3)+2b^(1/3)))+a^(2/3)
=[a^(1/3)/2b^(1/3)](a^(2/3)-2a^(1/3)b^(1/3)+4b^(2/3)) +a^(2/3)
=[(a -2a^(2/3)b^(1/3)+4a^(1/3)b^(2/3)]/2b^(1/3) +a^(2/3)
=[(a -2a^(2/3)b^(1/3)+4a^(1/3)b^(2/3) +2a^(2/3)b^(1/3)]/2b^(1/3)
=[(a +4a^(1/3)b^(2/3) ]/2b^(1/3)
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- 1楼网友:我住北渡口
- 2021-01-31 10:59
有照片么
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