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.

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!