The sum is [tex]\rm - 4g^4-3g^3+4g^2+5g+3[/tex].
Given
Equation; [tex]\rm (g^2 - 4g^4 + 5g + 9) + (-3g^3 + 3g^2 - 6)[/tex].
An addition sentence is a mathematical expression that shows two or more values added together and their sum.
To add the equation following all the steps given below.
Rewrite terms that are subtracted as the addition of the opposite.
[tex]\rm (g^2 - 4g^4 + 5g + 9) + (-3g^3 + 3g^2 - 6)\\\\\rm g^2 - 4g^4 + 5g + 9-3g^3 + 3g^2 - 6\\\\[/tex]
Group-like terms.
[tex]\rm g^2 - 4g^4 + 5g + 9-3g^3 + 3g^2 - 6\\\\ - 4g^4-3g^3+g^2 + 3g^2+5g+ 9-6[/tex]
Combine like terms.
[tex]\rm - 4g^4-3g^3+g^2 + 3g^2+5g+ 9-6\\\\- 4g^4-3g^3+4g^2+5g+3[/tex]
Hence, the sum is [tex]\rm - 4g^4-3g^3+4g^2+5g+3[/tex].
To know more about addition click the link given below.
https://brainly.com/question/2504069