To perform the operation \((-x^2 - 4x + 1) - (2x^2 + 9)\), we follow these steps:
-
Distribute the negative sign to the second expression:
\[ -x^2 - 4x + 1 - 2x^2 - 9 \]
-
Combine like terms:
- Combine the \(x^2\) terms: \(-x^2 - 2x^2 = -3x^2\)
- Combine the \(x\) terms: \(-4x\) (there are no other \(x\) terms)
- Combine the constant terms: \(1 - 9 = -8\)
So, the result of the operation is:
\[ -3x^2 - 4x - 8 \]