Let's simplify the expression:

\[
(-10x^2 + 4) + (-9x - 6)
\]

Step-by-step:
1. Combine like terms.
   - There is no other \(x^2\) term, so \(-10x^2\) remains as it is.
   - There is no constant that combines with \(-9x\), so \(-9x\) remains as it is.
   - Combine the constants: \(4 + (-6) = -2\).

So, the simplified expression is:

\[
-10x^2 - 9x - 2
\]

Would you like more details or have any questions? 

Here are 5 related questions to explore:
1. How do you solve quadratic equations like \(-10x^2 - 9x - 2 = 0\)?
2. How do you factor quadratic expressions?
3. What is the quadratic formula and how is it used?
4. How do you add and subtract polynomials?
5. How do you graph a quadratic equation?

**Tip:** When simplifying expressions, always group like terms (terms with the same variable raised to the same power).

Explore how to simplify the polynomial expression (-10x^2 + 4) + (-9x - 6) using basic algebraic techniques like combining like terms. This guide explains the concepts of polynomial addition and subtraction step-by-step and includes tips for avoiding common mistakes. Ideal for students in Grades 8-10.

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