Answer:
[tex]n^3+4n^2+8n-16[/tex]
Step-by-step explanation:
[tex]2n^3 + 4n^2 - 7 and -n^3 + 8n - 9[/tex]
find the sum of the polynomials
[tex]2n^3 + 4n^2 - 7 +(-n^3 + 8n - 9)[/tex]
Remove the parenthesis and combine like terms
[tex]2n^3 + 4n^2 - 7 -n^3 + 8n - 9[/tex]
[tex]2n^3 -n^3=n^3[/tex]
[tex]-7-9=-16[/tex]
[tex]4n^2, 8n[/tex] have no like terms
[tex]2n^3 + 4n^2 - 7 +(-n^3 + 8n - 9)=n^3+4n^2+8n-16[/tex]