The expression is:

\[
10n^3m - 15n^2m
\]

We can factor out the common terms. Both terms have a common factor of \( 5n^2m \).

Factoring that out:

\[
5n^2m(2n - 3)
\]

So, the simplified expression is:

\[
5n^2m(2n - 3)
\]

Would you like more details or have any questions?

Here are some related questions:

1. How do you factor polynomials in general?
2. Can you explain how to identify the greatest common factor (GCF)?
3. How do you factor trinomials of higher degrees?
4. What methods can you use to factor complex polynomials?
5. How does factoring help in solving algebraic equations?

**Tip:** Always check for the greatest common factor (GCF) before attempting more complex factoring methods.

Learn how to factor the polynomial expression 10n^3m - 15n^2m. This detailed solution explains the concept of factoring polynomials by finding the greatest common factor (GCF) and simplifying expressions. Suitable for students in Grades 6-8.

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