ANSWER
[tex]2(8 {x}^{2} + 9x + 16)[/tex]
EXPLANATION
The given expression is
[tex]16 {x}^{2} + 18x + 32[/tex]
The greatest common factor is 2.
We factor 2 to obtain:
[tex]2(8 {x}^{2} + 9x + 16)[/tex]
The expression in the parenthesis is prime.
This means that the quadratic expression in the parenthesis cannot be factored.
Hence the completely factored form is:
[tex]2(8 {x}^{2} + 9x + 16)[/tex]
