Let's break down the problem.

You are asked to find the sum of the following two expressions:

$8x^2 - x + 9 \quad \text{and} \quad 8x^2 - 5x + 5.$

Step-by-Step Solution:

1. Combine like terms:
   • The $x^2$ terms: $8x^2 + 8x^2 = 16x^2$
   • The $x$ terms: $-x - 5x = -6x$
   • The constant terms: $9 + 5 = 14$

Final Result:

The sum of the two expressions is: $16x^2 - 6x + 14.$

Would you like any additional details on this solution?

Related Questions:

1. How do you subtract polynomials instead of adding them?
2. What happens when the degree of the terms in a polynomial is different?
3. Can you show how to solve when the terms involve more variables (like $x$ and $y$)?
4. What if one of the coefficients is negative for a higher degree term?
5. How do you handle exponents greater than 2 when adding or subtracting?

Tip:

Always organize your terms by degree (highest power of the variable first) when adding or subtracting polynomials to avoid mistakes.