30. Given a ^ 2 / 3 + B ^ 2 / 3 = 4, x = a + 3A ^ 1 / 3B ^ 2 / 3, y = B + 3A ^ 2 / 3B ^ 1 / 3, find (x + y) ^ 2 / 3 + (X-Y) ^ 2 / 3

eight
x+y=(a^1/3+b^1/3)^3
x-y=(a^1/3-b^1/3)^3
(x+y)^2/3+(x-y)^2/3=(a^1/3+b^1/3)^2+(a^1/3-b^1/3)^2=2(a^2/3+b^2/3)=8

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