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To determine which expression in the equation \( \frac{x}{8} = \frac{3(x+4)}{2} \) represents a product, let's look at each of the given options:
A. \( \frac{x}{8} \) is a quotient, not a product.
B. \( 3(x+4) \) is a product since it involves multiplying 3 by the expression \( (x+4) \).
C. \( 2 \) is a number, not a product.
D. \( \frac{3(x+4)}{2} \) is a quotient, not a product.
Based on this analysis, the correct answer is:
**B. 3(x+4)**.