2a^2m - 3am^2 + m^2
This expression cannot be simplified any further.
However, if there was a typo, then maybe you meant
2a^2m - 3am^2 + m^3
= m(2a^2 - 3am + m^2)
= m(2a-m)(a-m)
Yes, if that was the intended expression, then your simplification is correct!
To simplify the given expression 2a^2m - 3am^2 + m^2, we can combine like terms.
Like terms have the same variables raised to the same powers. In this expression, we have three terms: 2a^2m, -3am^2, and m^2.
The first two terms, 2a^2m and -3am^2, both have a common factor of am^2. We can factor this out:
2a^2m - 3am^2 = am^2(2a - 3m)
Now we have a simplified form of the expression. It is am^2(2a - 3m) + m^2.
Note: The process of factoring out the common factor is also known as "combining like terms" or "collecting like terms". It involves finding terms with the same variable parts (variables raised to the same powers) and rearranging the expression to group them together.