Use the grouping symbols to interpret the following equation: x8=3(x+4)2 . Which expression in the equation represents a product?(1 point)

Question

Responses

x8
Start Fraction x over 8 End Fraction

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

3(x+4)
3 left parenthesis x plus 4 right parenthesis

2

Answer 1

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

The options given are:

1. \( x^8 \)
2. \( \frac{x}{8} \)
3. \( 3(x + 4)^2 \)
4. \( 3(x + 4) \)
5. \( 2 \)

Among these options, the expression \( 3(x + 4)^2 \) clearly represents a product, as it involves the multiplication of three parts: the number 3, the expression \( (x + 4) \), and \( (x + 4) \) again (since it is squared).

Therefore, the correct response is:

3(x + 4)²