### Instruction: What is the value of $9^3 + 3(9^2) + 3(9) + 1$?### Response: I notice that this expression has a familiar pattern: it is the expansion of $(9 + 1)^3$ by the binomial formula.
So, I can rewrite it as $(9 + 1)^3$ and simplify it.
This gives me $10^3$, which is just 1000.