To simplify the given expression \((2m^4 - 6m^2 + m) - (9m^3 + 9m^2 + 4m) + (m^2 - m)\), we will follow these steps:

1. **Distribute any minus signs across the terms within the parentheses**:  
\[
2m^4 - 6m^2 + m - 9m^3 - 9m^2 - 4m + m^2 - m
\]

2. **Combine like terms** (group the terms with the same power of \(m\)):

- \(2m^4\) (only one \(m^4\) term)
- \(-9m^3\) (only one \(m^3\) term)
- \(-6m^2 - 9m^2 + m^2 = -14m^2 + m^2 = -13m^2\)
- \(m - 4m - m = m - 5m = -4m\)

3. **Write the final simplified expression**:

\[
2m^4 - 9m^3 - 13m^2 - 4m
\]

So, the simplified expression is:
\[
\boxed{2m^4 - 9m^3 - 13m^2 - 4m}
\]

Would you like any further details or explanations on this?

Here are 5 related questions:
1. How do you factor polynomial expressions like this one?
2. What are the rules for adding and subtracting polynomials?
3. How can you identify and combine like terms in more complex expressions?
4. What role does the order of operations play in simplifying algebraic expressions?
5. How can simplifying expressions like this be useful in solving equations?

**Tip:** Always check each term carefully when distributing minus signs across parentheses to avoid sign errors!

Learn how to simplify the polynomial expression 2m^4 - 6m^2 + m - 9m^3 - 9m^2 - 4m + m^2 - m step-by-step. This problem covers key algebraic concepts, including polynomial simplification. Suitable for students in Grades 7-9.

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