Question

a的三分之一次方乘以(a-8b)除以四乘以b的三分之二次方加二倍的a的三分之一次方乘以b的三分之一....

= =在线坐等...

Answer 1

为打字简化，a的1/3次方以 A 代：A=a^(1/3)，b的1/3次方以 B代：B=b^(1/3)；
原式=[A(A³-8B³)/(4B²+2AB+A²)]÷[1-(2B/A)]×A
={[A(A-2B)(A+2AB+4B²)]/(4B²+2Ab+A²)}×[A/(A-2B)]×A
=[A(A-2B)]×[A/(A-2B)]×A=A³=a；

Answer 2

原式=a^(1/3)[a^(1/3) - 2b^(1/3)] ÷[1-2b^(1/3)/a^(1/3)]×a^(1/3)
=a^(1/3)[a^(1/3) - 2b^(1/3)] ÷{[a^(1/3)-2b^(1/3)]÷a^(1/3)}×a^(1/3)
= a^(1/3){[a^(1/3) - 2b^(1/3)] ÷[a^(1/3)-2b^(1/3)]}×a^(1/3)×a^(1/3)
=a^(1/3)×a^(1/3)×a^(1/3)
=a