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We are asked to perform the following operation:

\[
(x^2 - 6x + 5) - (5x + 4)
\]

### Step-by-step solution:

1. **Distribute the negative sign** through the second set of parentheses:
   \[
   (x^2 - 6x + 5) - (5x + 4) = x^2 - 6x + 5 - 5x - 4
   \]

2. **Combine like terms**:
   - The \(x^2\) term remains as it is: \(x^2\)
   - Combine the \(x\) terms: \(-6x - 5x = -11x\)
   - Combine the constant terms: \(5 - 4 = 1\)

Thus, the result is:
\[
x^2 - 11x + 1
\]

### Conclusion:
The correct answer is option **c. \(x^2 - 11x + 1\)**.

Would you like more details or have any questions?

Here are 5 related questions you might find useful:
1. How do you factor quadratic expressions like \(x^2 - 11x + 1\)?
2. What are the steps to combine like terms in polynomial expressions?
3. How can you verify the result of a polynomial subtraction?
4. How do you distribute negative signs across parentheses?
5. How does subtraction of polynomials differ from addition?

**Tip:** Always distribute negative signs carefully to avoid sign errors when subtracting polynomials!

Al efectuar la operación (x^2 - 6x + 5) - (5x + 4) se obtiene como resultado:

Learn how to solve the polynomial subtraction (x^2 - 6x + 5) - (5x + 4). This problem covers key algebra concepts like combining like terms in polynomial expressions. Suitable for students in Grades 8-10.

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