To solve the expression (5x^2 - 6x + 38) + (-x -11), you should combine like terms. Here's how you do it step by step:
1. Distribute the positive sign to the first polynomial: (5x^2 - 6x + 38).
2. Distribute the positive sign to the second polynomial: -x - 11.
3. Combine like terms: the x^2 term from the first polynomial (there is no x^2 term in the second polynomial), the x terms from both polynomials, and the constant terms.
When combining the terms, you get:
5x^2 + (-6x - x) + (38 - 11)
Combine the x terms and the constants:
5x^2 - 7x + 27
So, the simplified form of the given expression is:
5x^2 - 7x + 27
