The given expression is:

$(10x + 10) - (7x^2 + 5x - 8)$

Let's simplify this step by step:

Step 1: Distribute the negative sign across the second parentheses

$= 10x + 10 - 7x^2 - 5x + 8$

Step 2: Combine like terms

• $10x - 5x = 5x$
• $10 + 8 = 18$
• No like terms for $7x^2$

Thus, the simplified expression is:

$-7x^2 + 5x + 18$

This is the result of performing the operation.

Would you like further details or have any questions?

Here are 5 related questions to extend your understanding:

1. How do you simplify expressions with parentheses?
2. What happens if both parentheses contain negative signs?
3. Can you add or subtract expressions with different powers of $x$?
4. How does this simplification change if you multiply both terms by a constant?
5. What are common errors when distributing negative signs?

Tip: Always distribute negative signs carefully to avoid sign errors when simplifying expressions!