Identify the degree of each term of each polynomial. Then find the degree of the polynomial combine like term.

m^3+ 2m^2n-3m^2+3ma^2

the degree is the sum of all the powers of variables. If no power is given, then assume it is 1.

SO, the terms have degrees

3,2+1,2,1+2

The degree of the polynomial is the highest degree among the terms.

I see no like terms to combine

To identify the degree of each term in a polynomial, we look at the exponent of the variable in each term.

The polynomial given is:
m^3 + 2m^2n - 3m^2 + 3ma^2

The degree of a term is the sum of the exponents of the variables. Let's find the degree of each term:

- The term m^3 has a degree of 3 because the exponent of m is 3.
- The term 2m^2n has a degree of 3 because the sum of the exponents 2 and 1 for m^2 and n respectively is 3.
- The term -3m^2 has a degree of 2 because the exponent of m is 2.
- The term 3ma^2 has a degree of 3 because the sum of the exponents 1 and 2 for m and a^2 respectively is 3.

To find the degree of the polynomial, we consider the term with the highest degree. In this case, the highest degree among the terms is 3. Therefore, the degree of the polynomial is 3.

Next, to combine like terms, we add or subtract the coefficients of the terms with the same variables and exponents. However, in this polynomial, there are no like terms to combine since the variables and exponents differ in each term.

Hence, there are no like terms to combine, and the combined polynomial remains the same:
m^3 + 2m^2n - 3m^2 + 3ma^2