https://file.aiquickdraw.com/mathbot/file/1726193729766xce5nuql.jpg

Let's simplify the expression provided in the image:

\[
7x^2 + 9x - 3 + 10x^2 + 7
\]

### Step 1: Combine like terms.

- For \(x^2\) terms: \(7x^2 + 10x^2 = 17x^2\)
- For constant terms: \(-3 + 7 = 4\)

So, the simplified expression is:

\[
17x^2 + 9x + 4
\]

This is the simplified form of the given expression.

Do you have any questions or need further details?

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Here are some related questions to deepen your understanding:
1. How do you factor a quadratic expression like \(17x^2 + 9x + 4\)?
2. What are like terms and how do we combine them in algebraic expressions?
3. How would you expand a factored form of a quadratic expression?
4. What is the general method for simplifying expressions with multiple variables?
5. Can this quadratic expression be solved for roots using the quadratic formula?

**Tip:** Always check for common terms before simplifying an algebraic expression to avoid missing any combination opportunities.

Learn how to simplify the expression 7x^2 + 9x - 3 + 10x^2 + 7 by combining like terms. This step-by-step solution focuses on key algebraic concepts such as combining x^2 terms and constant terms, suitable for students in Grades 7-9.

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