ANSWER
B. 36
EXPLANATION
The given quadratic expression is:
[tex] {x}^{2} + 12x = 16[/tex]
To complete the square we add the square of half the coefficient of x.
The coefficient of x is 12.
Half of it is 6.
The square of 6 is 36.
Therefore we add 36 to both sides of the equation to complete the square.
The correct answer is B.
