Let's simplify the expression:

\[
(2x^2 - 3x) + (x^2 - 1)
\]

### Step 1: Combine like terms

- Combine the \(x^2\) terms:
  \[
  2x^2 + x^2 = 3x^2
  \]

- Combine the constant terms:
  \[
  -3x \text{ (there are no other \(x\) terms to combine with)} = -3x
  \]

- Combine the constant terms:
  \[
  -1 \text{ (there are no other constants to combine with)} = -1
  \]

### Final simplified expression:

\[
3x^2 - 3x - 1
\]

Would you like further details or clarifications?

Here are 5 related questions you can explore:
1. How do you factor the expression \(3x^2 - 3x - 1\)?
2. What are the roots of the quadratic equation \(3x^2 - 3x - 1 = 0\)?
3. How can we represent this simplified expression graphically?
4. How would the expression change if you were to substitute a value for \(x\)?
5. How would the result change if there were another constant term added?

**Tip:** Always remember to group like terms to simplify polynomial expressions easily.

Learn how to simplify the polynomial expression (2x^2 - 3x) + (x^2 - 1) step by step by combining like terms. This problem covers important algebraic concepts like simplifying polynomials and is suitable for students in Grades 8-10.

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