# A minimalistic approach?

Algebra Level 3

If $$a,bc$$ are positive reals such that $${a}$$ + $${b}$$ + $${c}$$ = 1, what is the minimum value of $\frac{a^2}{b+c} + \frac{b^2}{a+c} + \frac{c^2}{a+b} ?$

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