Which expression is equal to f(x) · g(x)?

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)

=

which matches with option C.

Therefore option C is the correct option.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation: