Factoring the first two terms, we have:

$99^2+99+1=99(99+1)+1=99\cdot 100+1=9900+1=\boxed{9901}$.
Question:
Compute $99^2+99+1$ in your head.
Answer:
Let's think step by step.

user
9901
Compute $99^2+99+1$ in your head.
test