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We are asked to find the difference of the two expressions:

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

### Step 1: Distribute the negative sign
We need to subtract the second expression by distributing the negative sign to each term inside the parentheses:

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

### Step 2: Combine like terms
Now, let's combine like terms:

- For \(x^4\), we only have \(4x^4\).
- For \(x^2\), we have \(3x^2 - 3x^2 = 0\).
- For \(x\), we have \(-2x + 3x = x\).

### Final result:
The simplified expression is:

\[
4x^4 + x
\]

Would you like further clarification or details on any step?

Here are 5 questions to expand on this concept:
1. How would the result change if the power of \(x\) in one term were altered?
2. Can we solve a similar problem where one of the terms has a fraction as a coefficient?
3. What is the general rule for subtracting polynomials?
4. How does the degree of the resulting polynomial compare to the degrees of the original polynomials?
5. Can this process be extended to functions with more variables?

**Tip:** When subtracting polynomials, always distribute the negative sign carefully to avoid mistakes!

Learn how to subtract polynomials by finding the difference of (3x^2 - 2x) and (-4x^4 + 3x^2 - 3x). This problem involves distributing the negative sign and combining like terms, essential for students in Grades 8-10.

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