Let's simplify the given expression step by step:

The expression is:

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

1. Combine like terms:
   - For the \(x^3\) terms: There's only \(-3x^3\).
   - For the \(x^2\) terms: \(2x^2 - 3x^2 + 5x^2\).
   - For the \(x\) terms: \(4x - 2x\).

Now, let's simplify:

\[
\text{Combine } x^2 \text{ terms: } 2x^2 - 3x^2 + 5x^2 = 4x^2
\]

\[
\text{Combine } x \text{ terms: } 4x - 2x = 2x
\]

The final expression is:

\[
-3x^3 + 4x^2 + 2x
\]

Would you like more details or have any questions?

Here are some related questions you might be interested in:
1. How do you combine like terms in algebraic expressions?
2. What are the rules for simplifying polynomial expressions?
3. How can you factor a polynomial like \(-3x^3 + 4x^2 + 2x\)?
4. How do you multiply polynomials?
5. What is the degree of the polynomial \(-3x^3 + 4x^2 + 2x\)?
6. How do you determine the leading term of a polynomial?
7. What is the difference between a monomial, binomial, and trinomial?
8. How do you find the roots of a polynomial?

**Tip:** When simplifying polynomials, always group like terms together before combining them. This helps to avoid mistakes and makes the process more straightforward.

Learn how to simplify the polynomial expression (2x^2 - 3x^2 + 4x) + (-3x^3 + 5x^2 - 2x) step-by-step. This problem involves combining like terms in algebraic expressions and polynomial simplification. Suitable for Grades 7-9.

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