Answer:
((x - 6)^2 - 52).
Step-by-step explanation:
First, we’ll complete the square by finding the value of (a):
Divide the coefficient of the linear term (-12x) by 2: (\frac{-12}{2} = -6).
Square this value: ((-6)^2 = 36).
Now, add and subtract this value inside the expression: [x^2 - 12x - 16 = x^2 - 12x + 36 - 36 - 16]
Rearrange the expression: [x^2 - 12x + 36 - 36 - 16 = (x - 6)^2 - 52]
Therefore, the expression can be written as ((x - 6)^2 - 52).
