Final answer:
Combine like terms to simplify the given expression, resulting in 6x² - 5x - 5.
Step-by-step explanation:
To solve the given expression (4x² -10x)+(2x² +5x-5), we need to combine like terms. This means adding together the coefficients of the x² terms, the x terms, and the constant terms separately.
- Combine the x² terms: 4x² + 2x² = 6x².
- Combine the x terms: -10x + 5x = -5x.
- Combine the constant terms: -5 is the only constant term, so it remains unchanged.
After combining like terms, the simplified expression is 6x² - 5x - 5.