Let's perform the operation step by step for the expression:

$(4x^2 - 10x) + (2x^2 + 5x - 5)$

Step 1: Combine like terms

1. For $x^2$: $4x^2 + 2x^2 = 6x^2$

2. For $x$: $-10x + 5x = -5x$

3. Constant terms: $-5 \text{ (since there is no constant in the first expression)}$

Final expression:

$6x^2 - 5x - 5$

This is the simplified result of the operation.

Would you like more details or have any further questions?

Here are 5 related questions to explore further:

1. How do you factor the quadratic expression $6x^2 - 5x - 5$?
2. Can we solve $6x^2 - 5x - 5 = 0$ using the quadratic formula?
3. How do you graph the quadratic equation $y = 6x^2 - 5x - 5$?
4. What are the roots of the equation $6x^2 - 5x - 5 = 0$?
5. How do you complete the square for the expression $6x^2 - 5x - 5$?

Tip: Always combine like terms first when simplifying expressions!