Task 817
Task 817: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Let $a$ and $b$ be nonzero complex numbers such that $a^2 + ab + b^2 = 0.$ Evaluate \ \frac{a^9 + b^9}{(a + b)^9}.\
The task
Let $a$ and $b$ be nonzero complex numbers such that $a^2 + ab + b^2 = 0.$ Evaluate \[\frac{a^9 + b^9}{(a + b)^9}.\]