Final answer:
The expression (4x² - 3x + 10) + (x² + x) is simplified by combining like terms to get the result 5x² - 2x + 10.
Step-by-step explanation:
To solve the algebraic expression (4x² - 3x + 10) + (x² + x), we combine like terms. This means adding the coefficients of the terms that have the same variables and exponents. The like terms here are the x² terms and the x terms.
To begin, we combine the x² terms:
Next, we combine the x terms:
There is also a constant term that stands alone:
Putting it all together, we get:
The simplified expression is 5x² - 2x + 10.