if a^1/3+b^1/3+c^1/3=0,then
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a^1/3+b^1/3+c^1/3=0
⇒ a^1/3+b^1/3 = - c^1/3
cubing on both sides
⇒ a + b + 3*a^(1/3)*b^(1/3)*(a^1/3+b^1/3) = - c
⇒ a+b+c = 3*a^(1/3) * b^(1/3) *c^(1/3)
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