> 数学 >
(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
人气:251 ℃ 时间:2019-08-18 04:17:07
解答
(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)
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版