Let's simplify the expression:

\[
(-8x + 10) - (3x^2 - x + 6)
\]

Distribute the negative sign to each term inside the second parenthesis:

\[
-8x + 10 - 3x^2 + x - 6
\]

Now, combine like terms:

- For the \(x^2\) terms: There is only one term, \(-3x^2\).
- For the \(x\) terms: \(-8x + x = -7x\).
- For the constant terms: \(10 - 6 = 4\).

So, the simplified expression is:

\[
-3x^2 - 7x + 4
\]

Would you like further details or have any questions?

Here are 5 related questions to expand on this:

1. How would you solve the quadratic equation \( -3x^2 - 7x + 4 = 0 \)?
2. What are the critical points of the function \( -3x^2 - 7x + 4 \)?
3. How do you factor the expression \( -3x^2 - 7x + 4 \) (if possible)?
4. What is the axis of symmetry for the quadratic function \( -3x^2 - 7x + 4 \)?
5. How does the graph of \( -3x^2 - 7x + 4 \) compare to that of \( 3x^2 + 7x - 4 \)?

**Tip:** Always pay attention to the order of operations and the signs when simplifying expressions.

Learn how to simplify the expression (-8x + 10) - (3x^2 - x + 6) step-by-step. This problem involves algebraic simplification and combining like terms, suitable for students in Grades 7-9.

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