根号3的3次方下a的3分之4次方减2a加a的3分...

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其它回答(4条)
(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)
解:原式=(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)
&&&&,V2.15519化简一个根式,【化简】根号下a的三分之四次方减去2a加上a的三分之二次方 (a大于0小于1)
炎發灼眼0272
√[a^(4/3)-2a+a^(2/3)]=√a^(2/3)[a^(2/3)-2a^1/3+1]=a^(1/3)[1-a^(1/3)]=a^(1/3)-a^(2/3)
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怎么插入图片啊
把根号里a提出来就是a的三分之一次方加2加a的负三分之一次方,就是完全平方了嘛
根号下提取公因式,化解成完全平方
将a的4/3次方看成a的2/3次方的平方,将a的2/3次方 看成a的1/3次方的平方,即可配成完全平方差的形式。0<a<1,得到a的2/3次方<a的1/3次方去掉绝对值,根式化简为:a的1/3次方-a的2/3次方.
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