https://file.aiquickdraw.com/mathbot/file/1726862216704d70ws434.jpg

Let's solve the operation step by step. The expression given is:

\[
(5x^2 + 4x + 8) - (-9x - 3)
\]

### Step 1: Distribute the negative sign
When subtracting an expression, distribute the negative sign through the terms inside the parentheses:

\[
5x^2 + 4x + 8 - (-9x - 3) = 5x^2 + 4x + 8 + 9x + 3
\]

### Step 2: Combine like terms
Now, combine the like terms:

- \(5x^2\) (no like term for this, so it remains \(5x^2\))
- \(4x + 9x = 13x\)
- \(8 + 3 = 11\)

### Final Answer:
\[
5x^2 + 13x + 11
\]

Would you like any additional details on this operation? Here are some related questions you might find helpful:

1. How do you simplify expressions involving multiple sets of parentheses?
2. What is the role of like terms in algebraic simplifications?
3. How do you factor a quadratic expression like \(5x^2 + 13x + 11\)?
4. What are some common mistakes to avoid when distributing negative signs?
5. Can this quadratic expression be solved for \(x\)?

**Tip:** Always double-check that you distribute negative signs correctly when subtracting polynomials.

Perform the operation: (5x^2 + 4x + 8) - (-9x - 3)

Learn how to subtract polynomials using the distributive property. In this problem, (5x^2 + 4x + 8) - (-9x - 3), we distribute the negative sign and combine like terms to simplify the expression to 5x^2 + 13x + 11.

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