https://file.aiquickdraw.com/mathbot/file/1726286701934v7i5tdlx.jpg

The expression in the image is:

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

Let's simplify this step by step.

1. Distribute the negative sign across the second parentheses:
   \[
   (-8x + 10) - (3x^2 - x + 6) = -8x + 10 - 3x^2 + x - 6
   \]

2. Now, combine like terms:
   \[
   -3x^2 + (-8x + x) + (10 - 6) = -3x^2 - 7x + 4
   \]

So, the simplified expression is:
\[
-3x^2 - 7x + 4
\]

Let me know if you'd like further details or have any questions!

### Related Questions:
1. What is the degree of the polynomial \(-3x^2 - 7x + 4\)?
2. How do you graph the polynomial \(-3x^2 - 7x + 4\)?
3. What is the axis of symmetry for the quadratic term in \(-3x^2 - 7x + 4\)?
4. How would you factor a quadratic expression like \(-3x^2 - 7x + 4\)?
5. How do you determine the roots of the equation \(-3x^2 - 7x + 4 = 0\)?

### Tip:
Always remember to distribute negative signs carefully to avoid mistakes while simplifying expressions.

Simplify the expression: (-8x + 10) - (3x^2 - x + 8).

This detailed guide explains how to simplify the polynomial expression (-8x + 10) - (3x^2 - x + 8) using algebraic techniques like distributive property and combining like terms, suitable for high school students.

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