# Inequality

Algebra Level 3

If $$a,b,c\in \mathbb R^{+}$$, then find the minimum value of

$\frac{a^{4}+1}{(b+c)^{2}}+\frac{b^{4}+1}{(c+a)^{2}}+\frac{c^{4}+1}{(a+b)^{2}}$

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