To simplify the given expression, let's first expand and combine like terms:

\[
(10x^2 - 7x + 7) - (4x^2 + 5x - 9)
\]

Distribute the negative sign to the second set of parentheses:

\[
10x^2 - 7x + 7 - 4x^2 - 5x + 9
\]

Now, combine like terms:

- \(10x^2 - 4x^2 = 6x^2\)
- \(-7x - 5x = -12x\)
- \(7 + 9 = 16\)

So, the simplified expression is:

\[
6x^2 - 12x + 16
\]

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

### Related questions:
1. How do you factor the quadratic expression \(6x^2 - 12x + 16\)?
2. What happens if we set the expression \(6x^2 - 12x + 16 = 0\)?
3. How would you complete the square for \(6x^2 - 12x + 16\)?
4. What is the vertex form of the quadratic expression \(6x^2 - 12x + 16\)?
5. Can you solve the equation \(6x^2 - 12x + 16 = 0\) using the quadratic formula?

**Tip**: When simplifying expressions, always distribute negative signs carefully and combine like terms step by step to avoid mistakes!

Learn how to simplify the polynomial expression (10x² - 7x + 7) - (4x² + 5x - 9) step by step. This problem involves key algebraic concepts such as the distributive property and combining like terms. Suitable for students in Grades 7-9.

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