(a∧1/3-b∧1/3)分之(a-b)-(a∧1/3+b∧1/3)分之(a+b)
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(a∧1/3-b∧1/3)分之(a-b)-(a∧1/3+b∧1/3)分之(a+b)
=(a^1/3-b^1/3)[a^2/3+(ab)^1/3+b^2/3]/(a^1/3-b^1/3)-(a^1/3+b^1/3)[a^2/3-(ab)^1/3+b^2/3]/(a^1/3+b^1/3)
=a^2/3+(ab)^1/3+b^2/3-[a^2/3-(ab)^1/3+b^2/3]
=a^2/3+(ab)^1/3+b^2/3-a^2/3+(ab)^1/3-b^2/3
=2(ab)^1/3
=(a^1/3-b^1/3)[a^2/3+(ab)^1/3+b^2/3]/(a^1/3-b^1/3)-(a^1/3+b^1/3)[a^2/3-(ab)^1/3+b^2/3]/(a^1/3+b^1/3)
=a^2/3+(ab)^1/3+b^2/3-[a^2/3-(ab)^1/3+b^2/3]
=a^2/3+(ab)^1/3+b^2/3-a^2/3+(ab)^1/3-b^2/3
=2(ab)^1/3
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