Пишу сразу ответ
((a^2/3)^2 - (3b^-1)^2)=a^4/3-9b^-2=a^4/3-9/b^2
(a-b)/a^1/3-b^1/3-(a+b)/a^1/3+b^1/3=(a-b)(a^1/3+b^1/3)-(a+b)(a^1/3-b^1/3)
_____________________________ =
a^2/3-b^2/3
a^4/3+ab^1/3-a^1/3b-b^4/3-a^4/3+ab^1/3-a^1/3b+b^4/3
= ___________________________________________=
a^2/3-b^2/3
2ab^1/3 - 2a^1/3b 2a^1/3b^1/3(a^2/3 - b^2/3)
= ________________ = ______________________ = 2a^1/3b^1/3
a^2/3 - b^2/3 a^2/3 -b^2/3