Solution:
Consider the following polynomial:
[tex]64n^2+176n+121[/tex]this polynomial is equivalent to:
[tex](8n)^2+176n+(11)^2[/tex]now, notice that:
[tex]176n\text{ = (}2)(8n)(11)[/tex]so, we can apply the formula of the square binomial, to obtain:
[tex](8n+11)^2[/tex]so that, we can conclude that the correct answer is:
[tex](8n+11)^2[/tex]