Question 83
Find the maximum positive integer $k$ such that for any positive integers $m, n$ such that $m^{3}+n^{3}\gt (m+n)^{2}$, we have
$$
m^{3}+n^{3} \geq (m+n)^{2}+k
$$
$$
m^{3}+n^{3} \geq (m+n)^{2}+k
$$
MathNet 2018-part-03 — 181 problems (EN–VI) Question 83
Math Olympiad Vault · MathNet 2018-part-03 — 181 problems (EN–VI)