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.