Final answer:
The expression m² - 3n² - mn - 2mn² + 3n² - 2m² simplifies to -m² - mn - 2mn². The n terms cancel each other out, while the m terms combine to -m². The mn terms do not have like terms to combine further.
Step-by-step explanation:
To combine and simplify the mn² terms in the expression m² - 3n² - mn - 2mn² + 3n² - 2m², first we need to identify like terms. The terms -2mn² from the expression do not have any other identical terms. Therefore, this term remains as it is. When we look at the expression, we can combine the m terms and the n terms separately:
m² - 2m² = -m² (since m² - 2m² = -m²)
Similarly, for the n terms:
-3n² + 3n² = 0 (since they cancel each other out)
Now we rewrite the expression without the cancelled n terms:
-m² - mn - 2mn²
This is the simplified expression where -mn cannot be further combined as it is not the like term with the others.