# Another Inequality!

Algebra Level 5

$\large{(a^3 +3)(b^3 + 6)(c^3+12) > k(a+b+c)^3}$

Find the largest integer $$k$$ such that for all positive integers $$a,b,c$$, the above inequality satisfies.

Bonus - Can you find the largest real number $$k$$ satisfying the above inequality?

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