If f(x) = x^3 - 1/x^3, show that f(x) + f(1/x) = 0

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If `f(x)=x+1/x` , prove that `[f(x)]^3=f(x^3)+3f(1/x)dot` . If `f(x)=x+1/x` , prove that `[f(x)]^3=f(x^3)+3f(1/x)dot` .
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