Question

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

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

x8
Start Fraction x over 8 End Fraction

3(x+4)

Answer 1

In the equation \( x8 = 3(x+4)2 \), we need to determine which expression represents a product.

1. **3(x+4)2** — This represents a product because it is the result of multiplying 3 by the quantity \( (x + 4) \) and then by 2.
2. **Start Fraction 3 left parenthesis x plus 4 right parenthesis over 2 End Fraction** — This represents a division, not a product.
3. **x8** — This appears to represent an expression that is correctly notation, but is unclear as specifically indicating a product without proper notation (it could be \( x \cdot 8 \) or \( x^8 \)).
4. **Start Fraction x over 8 End Fraction** — This also represents division, not a product.
5. **3(x+4)** — This represents a product of 3 and the quantity \( (x + 4) \), but is not the full expression as given in the original equation.

The correct answer based on your provided options is **3(x+4)2**.