# An algebra problem by Jose RL

Algebra Level 3

Let $$a,b$$ and $$c$$ real numbers such that

$\frac{a}{b+c} + \frac{b}{c+a} + \frac{c}{a+b} = 1.$

Find the value of

$\frac{a^2 }{b+c} + \frac{b^2}{c+a} + \frac{c^2}{a+b} .$

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