Question

Let a, b, and c be nonzero real numbers (with nonzero sum) such that:
$\dfrac{1}{a} + \dfrac{1}{b}+\dfrac{1}{c} = \dfrac{1}{a+b+c}$
Then prove,
$\dfrac{1}{a^{1999}} + \dfrac{1}{b^{1999}}+\dfrac{1}{c^{1999}} = \dfrac{1}{a^{1999}+b^{1999}+c^{1999}}$

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:

Hope it helps you mate................