# 100 followers problem

Algebra Level 5

$\large 4(a^6+b^6+c^6)+5abc(a^3+b^3+c^3)$

Given that $$a$$, $$b$$ and $$c$$ are reals satisfying $$ab+bc+ca=\sqrt[3]{100}$$.

Find the minimum value of the expression above.

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