The Lagrangian is

It has critical points where the first order derivatives vanish:



From the first two equations we get

Then

At these critical points, we have
(maximum)
(minimum)
Answer:
(x+6)(x+6)
(x+6)^2
Always remember this identity
(a+b)^2 = a^2 + b^2 + 2ab
So, Now take x=a , 6 =b
Substitute above values
x^2 + 36 +2(x)(6)
=x^2 +36 +12x
=x(x+12) +36
Answer:
C
Step-by-step explanation: