The sum of the polynomial is [tex]\rm 5m^2+4n^2-5mn[/tex].
Given
In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials.
Write each polynomial below their like term and then combine it.
First expression: [tex]\rm 2mn+4n^2[/tex]
Second Expression: [tex]\rm 5m^2-7mn[/tex]
Now, we will add vertically. If the variable part of the term is the same then it would be like a term.
By using the vertical format the addition is;
[tex]\rm 2mn+4n^2+0m^2[/tex]
[tex]\rm 5m^2-7mn+0n^2[/tex]
Now, combine their coefficient and write the variable as same.
[tex]\rm -5mn+4n^2+5m^2[/tex]
We can rearrange the term according to options.
[tex]\rm 5m^2+4n^2-5mn[/tex]
Hence, the sum of the polynomial is [tex]\rm 5m^2+4n^2-5mn[/tex].
To know more about Vertical format click the link given below.
https://brainly.com/question/10682697