Let $a$ and $b$ be nonzero complex numbers such that $a^2 + ab + b^2 = 0.$  Evaluate
\[\frac{a^9 + b^9}{(a + b)^9}.\]
Question:
Let $a$ and $b$ be nonzero complex numbers such that $a^2 + ab + b^2 = 0.$  Evaluate
\[\frac{a^9 + b^9}{(a + b)^9}.\]
Answer:
Let's think step by step.

user
-2
Let $a$ and $b$ be nonzero complex numbers such that $a^2 + ab + b^2 = 0.$  Evaluate
\[\frac{a^9 + b^9}{(a + b)^9}.\]
train