ANSWER
[tex] {x}^{2} + 6x + 9[/tex]
EXPLANATION
The given expression is
[tex] {(x + 3)}^{2} [/tex]
We rewrite to obtain,
[tex] = (x + 3)(x + 3)[/tex]
We expand using the distributive property to obtain,
[tex] = x(x + 3) + 3(x + 3)[/tex]
This gives us,
[tex] = {x}^{2} + 3x + 3x + 9[/tex]
This simplifies to,
[tex] = {x}^{2} + 6x + 9[/tex]
The correct answer is the first option.
