From the image, we see a math question on the screen asking to simplify the expression:

$(2x^2 + 7x + 10) - (x^2 + 2x - 9).$

Solution:

1. Expand the subtraction: $(2x^2 + 7x + 10) - (x^2 + 2x - 9) = 2x^2 + 7x + 10 - x^2 - 2x + 9.$

2. Combine like terms:

   • $2x^2 - x^2 = x^2$,
   • $7x - 2x = 5x$,
   • $10 + 9 = 19$.

3. Final expression: $x^2 + 5x + 19.$

The correct answer is $x^2 + 5x + 19$ (light blue option).

Would you like more details or explanations on this problem?

Related Questions:

1. How do you simplify expressions involving parentheses and subtraction?
2. What are like terms, and how do you combine them in an expression?
3. How would this process change if there were more variables (e.g., $y$ terms)?
4. Can you explain why subtraction changes the signs of terms inside parentheses?
5. How can you verify your simplified result is correct?

Tip:

Always distribute the negative sign carefully when subtracting polynomials!