An algebra problem by Sourasish Karmakar

Algebra Level 3

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

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