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 2 2 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) 3 left parenthesis x plus 4 right parenthesis
Answers
GPT-4o mini
In the equation \( x^8 = 3(x + 4)^2 \), the expression that represents a product is \( 3(x + 4)^2 \).
This is because it includes the multiplication of \( 3 \) by \( (x + 4)^2 \).
The other options like \( 2, \, 3, \, x^8, \, \frac{x}{8}, \, \frac{3(x + 4)}{2}, \) and \( 3(x + 4) \) do not represent a complete product in the same way.
So the correct response is:
**\( 3(x + 4)^2 \)**.
This is because it includes the multiplication of \( 3 \) by \( (x + 4)^2 \).
The other options like \( 2, \, 3, \, x^8, \, \frac{x}{8}, \, \frac{3(x + 4)}{2}, \) and \( 3(x + 4) \) do not represent a complete product in the same way.
So the correct response is:
**\( 3(x + 4)^2 \)**.