The real numbers a, b, c satisfy a + b + c = 0 and abc = 18. What is a^3 + b^3 + c^3?
$a^3+b^3+c^3=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)+3abc=3abc=54$ since the first term is negligible as $a+b+c=0$.
cleannnn
+605 
