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(I) If (1)/(a)+(1)/(b)+(1)/(c)=(1)/(a+b+...

(I) If `(1)/(a)+(1)/(b)+(1)/(c)=(1)/(a+b+c)`,then prove that `(1)/(a^(3))+(1)/(b^(3))+(1)/(c^(3))=(1)/((a+b+c)^(3))`

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