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What is the value?????

Algebra Level 2

If $\dfrac{a^2}{b+c} = \dfrac{b^2}{c+a}=\dfrac{c^2}{a+b}=1$ , then find the value of $\dfrac{1}{a+1} + \dfrac{1}{b+1} + \dfrac{1}{c+1}$

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by Anagha Nair

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