Let's simplify the expression \((x^2 + 3x - x - 3) + (x + 3)\).

1. Combine like terms within each set of parentheses:
   \[
   (x^2 + (3x - x) - 3) + (x + 3) 
   = (x^2 + 2x - 3) + (x + 3)
   \]

2. Now, combine the like terms from both parts:
   \[
   x^2 + (2x + x) + (-3 + 3) 
   = x^2 + 3x + 0
   \]

Thus, the simplified expression is:
\[
x^2 + 3x
\]

Would you like more details or have any questions?

Here are some related questions for further practice:

1. How would you simplify \( (2x^2 + 4x - x - 5) + (3x + 5) \)?
2. What is the difference between combining like terms and factoring?
3. How do you factor \( x^2 + 3x \)?
4. Can this expression be graphed? If so, what would its shape be?
5. How does simplifying help when solving equations?

**Tip:** Always combine like terms first when simplifying any expression—it makes further operations easier!

Learn how to simplify the polynomial expression (x² + 3x–x-3) + (x + 3). This problem covers key algebraic concepts such as combining like terms and simplifying polynomials. Suitable for students in Grades 7-9.

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