Answer:
To simplify the expression \((-x^2 - 4x + 1) - (2x^2 + 9)\), follow these steps-
1. Distribute the negative sign through the second parentheses:
\[ -x^2 - 4x + 1 - 2x^2 - 9 \]
2. Combine like terms:
- Combine the \(x^2\) terms: \(-x^2 - 2x^2 = -3x^2\)
- Combine the constant terms: \(1 - 9 = -8\)
So, the simplified expression is-
\[ -3x^2 - 4x - 8 \]