To analyze the equation \( \frac{x}{8} = \frac{3(x+4)}{2} \) and identify which expression represents a product, let's first simplify it.
The right side of the equation is \( \frac{3(x+4)}{2} \). Here, \( 3(x+4) \) is the expression that represents a product because it involves the multiplication of \( 3 \) and the quantity \( (x+4) \).
Therefore, the expression that represents a product in the equation is \( 3(x+4) \).