Use the grouping symbols to interpret the following equation: x8=3(x+4)2

Question

. Which expression in the equation represents a product?(1 point)
Responses

x8
Start Fraction x over 8 End Fraction

2
2

3(x+4)2
Start Fraction 3 left parenthesis x plus 4 right parenthesis over 2 End Fraction

3(x+4)

Answer 1

In the equation \( x^8 = 3(x + 4)^2 \), we want to identify which expression represents a product.

The expression \( 3(x + 4)^2 \) features the number 3 multiplied by the square of the binomial \( (x + 4) \). This indicates a product because it can be rewritten in terms of multiplication as \( 3 \times (x + 4)(x + 4) \).

So the correct answer is:

3(x + 4)^2