MathNet 2022-part-05 — 197 problems (EN–VI) Question 137

Suppose that for some positive integers $a$ and $b$, $\frac{a^2 + b^2}{(a-b)^2}$ is an integer number. Show that $\frac{a^3 + b^3}{(a-b)^3}$ is also an integer number.