Answer:
Option C.
Step-by-step explanation:
Since f(x) = √(x² + 12x + 36)
g(x) = x³ - 12
We have to solve the expression f(x).g(x)
f(x).g(x) = {√(x² + 12x + 36)}.{x³ - 12} = [√(x + 6)²].(x³-12) = (x + 6)(x³-12)
= [tex]x^{4}+6x^{3}-12x-72[/tex]
which matches with option C.
Therefore option C is the correct option.
