Let's simplify the expression step by step:

Given:
\[
-3x^2 + 3 + 17x^2 - 10 - 11x
\]

### Step 1: Combine like terms

- Combine the \(x^2\) terms: \(-3x^2 + 17x^2 = 14x^2\)
- There is only one \(x\) term: \(-11x\)
- Combine the constant terms: \(3 - 10 = -7\)

### Step 2: Write the simplified expression

\[
14x^2 - 11x - 7
\]

So, the simplified expression is:
\[
\boxed{14x^2 - 11x - 7}
\]

Would you like more details, or do you have any other questions?

### Related Questions:
1. How do you factor quadratic expressions?
2. What is the discriminant of a quadratic equation?
3. How do you find the roots of a quadratic equation using the quadratic formula?
4. What are the methods to solve a quadratic equation?
5. How do you complete the square to solve quadratic equations?
6. Can you graph the quadratic function \(14x^2 - 11x - 7\)?
7. What are the applications of quadratic equations in real life?
8. How do you derive the quadratic formula?

**Tip:** Always double-check your work for signs when combining like terms, as small errors can lead to incorrect results!

Learn how to simplify the expression -3x^2 + 3 + 17x^2 - 10 - 11x step-by-step with detailed explanations and examples. This problem involves combining like terms and simplifying algebraic expressions, suitable for Grades 7-9.

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