Answer:
The factor form of the given expression is [tex](4x+3)^2[/tex].
Step-by-step explanation:
The given expression is
[tex]16x^2+24x+9[/tex]
The middle term can be written as [tex]12x+12x[/tex].
[tex]16x^2+12x+12x+9[/tex]
[tex]4x(4x+3)+3(4x+3)[/tex]
[tex](4x+3)(4x+3)[/tex]
[tex](4x+3)^2[/tex]
Therefore the factor form of the given expression is [tex](4x+3)^2[/tex].