Let $a$ and $b$ be such that $a+b=13$ and $a b=41$. Calculate $a^{3}+b^{3}$.
On a $a^{3}+b^{3}=(a+b)^{3}-3 a b(a+b)=13^{3}-3 \times 13 \times 41=598$.

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On a $a^{3}+b^{3}=(a+b)^{3}-3 a b(a+b)=13^{3}-3 \times 13 \times 41=598$.