Perform the operation.

left parenthesis, 5, x, squared, plus, 4, x, plus, 8, right parenthesis, minus, left parenthesis, minus, 9, x, minus, 3, right parenthesis


Let's simplify the given expression:

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

First, distribute the negative sign across the second set of parentheses:

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

Now, combine like terms:

- There is only one \(x^2\) term: \(5x^2\)
- Combine the \(x\) terms: \(4x + 9x = 13x\)
- Combine the constant terms: \(8 + 3 = 11\)

So, the simplified expression is:

\[
5x^2 + 13x + 11
\]

Would you like any more details or have any questions? Here are 5 related questions to further your understanding:

1. How would you factor the expression \(5x^2 + 13x + 11\)?
2. Can you solve the equation \(5x^2 + 13x + 11 = 0\) using the quadratic formula?
3. What is the vertex of the quadratic function \(y = 5x^2 + 13x + 11\)?
4. How would you graph the quadratic function \(y = 5x^2 + 13x + 11\)?
5. How do you complete the square for the expression \(5x^2 + 13x + 11\)?

**Tip:** When performing operations involving subtraction of expressions, be sure to distribute the negative sign carefully to each term inside the parentheses.

Learn how to simplify the expression (5x^2 + 4x + 8) - (-9x - 3) step-by-step. This problem covers key algebraic concepts such as simplifying expressions and combining like terms. Suitable for students in Grades 7-9.

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