To simplify the expression \( 2x^2 - 3x - x^2 + 3 \), we follow these steps:

1. **Combine like terms:**
   - For the \( x^2 \) terms: \( 2x^2 - x^2 = x^2 \)
   - For the \( x \) terms: \( -3x \)
   - The constant term remains \( +3 \).

So the simplified expression is:

\[
x^2 - 3x + 3
\]

Would you like further explanation on any part of this process?

Here are 5 related questions you can explore:
1. How do you factor \( x^2 - 3x + 3 \)?
2. What is the value of \( x \) when \( x^2 - 3x + 3 = 0 \)?
3. How do you graph the quadratic equation \( y = x^2 - 3x + 3 \)?
4. What are the vertex and axis of symmetry for the function \( y = x^2 - 3x + 3 \)?
5. Can you simplify a cubic expression like \( x^3 - 2x^2 + x - 1 \)?

**Tip:** Always group like terms when simplifying algebraic expressions to make the process clearer.

Discover how to simplify the algebraic expression 2x^2 - 3x - x^2 + 3 by combining like terms. This problem is ideal for students learning basic algebra and quadratic expressions. Suitable for Grades 7-9.

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