Final answer:
The simplified expression of -x² - 5x + 4 + 2x² + 3x - 5 is x² - 2x - 1. To simplify it, you combine like terms for x², x, and the constants separately.
Step-by-step explanation:
To simplify the expression -x² - 5x + 4 + 2x² + 3x - 5, we need to combine like terms. Like terms are terms that contain the same variable to the same power. In this expression, we can combine -x² + 2x², -5x + 3x, and constants 4 - 5.
Step-by-step solution:
- Combine the x² terms: -x² + 2x² = x².
- Combine the x terms: -5x + 3x = -2x.
- Combine the constant terms: 4 - 5 = -1.
- Now, put it all together: x² - 2x - 1.
The simplified expression is x² - 2x - 1.