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The expression you shared is:

\[
2m^2n - 3m^4n^2 + 7m^3
\]

### Let's factor this step by step:

1. First, we look for common factors in all terms. The terms are \(2m^2n\), \(-3m^4n^2\), and \(7m^3\).
   
2. The common factor among all terms is \(m^2\). So, we can factor out \(m^2\):

\[
m^2(2n - 3m^2n^2 + 7m)
\]

This is the factored expression.

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Would you like more details or have any other questions? Here are five related questions for practice:

1. How would you factor an expression like \(4x^3 + 8x^2 - 12x\)?
2. What is the greatest common factor (GCF) of \(5a^2b^3\) and \(10a^4b^2\)?
3. Can all polynomials be factored? Why or why not?
4. How would you factor the trinomial \(x^2 + 5x + 6\)?
5. What is the difference between factoring by grouping and factoring by finding the GCF?

**Tip**: Always look for the greatest common factor (GCF) first when factoring expressions!

Factoriza la expresión. 2m^2n - 3m^4n^2 + 7m^3

Learn how to factor the polynomial expression 2m^2n - 3m^4n^2 + 7m^3 step-by-step. This problem covers key algebraic concepts, such as finding the greatest common factor (GCF) and applying the distributive property. Suitable for students in Grades 8-10.

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