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Find $a^3 + b^3 +c^3, $ given $a+b+c=12$ and $a^3 cdot b^4 cdot c^5 = 0.1 cdot (600)^3$

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1 $begingroup$ $a+b+c=12$ and $a^3 cdot b^4 cdot c^5 = 0.1 cdot (600)^3$ . Find $a^3 + b^3 +c^3 = ?$ My approach is to use AM-GM inequality. Is it correct? a.m.-g.m.-inequality share | cite | improve this question edited Dec 19 '18 at 15:58 Namaste 1 asked Dec 19 '18 at 14:56 Mark 7 Mark 7 9 5 $endgroup$