Let's simplify the given expression:

\[
(-10x^2 + 4x) - (-4x^2 + 6x + 8)
\]

### Step 1: Distribute the negative sign across the second parentheses

\[
= -10x^2 + 4x + 4x^2 - 6x - 8
\]

### Step 2: Combine like terms

\[
(-10x^2 + 4x^2) + (4x - 6x) - 8
\]

\[
= -6x^2 - 2x - 8
\]

So, the simplified expression is:

\[
-6x^2 - 2x - 8
\]

Would you like further details on any step?

Here are 5 related questions:
1. How do you factor quadratic expressions like \( -6x^2 - 2x - 8 \)?
2. What is the importance of distributing negative signs in expressions?
3. How can you graph a quadratic expression like \( -6x^2 - 2x - 8 \)?
4. How do you solve a quadratic equation when it is set to 0?
5. What are common mistakes when combining like terms?

**Tip**: Always be cautious with negative signs when distributing them across terms in parentheses.

The query submitted by the user: (−10x^2 + 4x) − (−4x^2 + 6x + 8)

Learn how to simplify the algebraic expression (−10x^2 + 4x) − (−4x^2 + 6x + 8) with a detailed step-by-step solution. This problem covers key algebraic concepts, including the distributive property and combining like terms, making it ideal for students in Grades 8-10.

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