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
x8
Responses
x8
Answers
GPT-4o mini
In the equation \( x^8 = 3(x + 4)^2 \), the expression that represents a product is \( 3(x + 4)^2 \).
Here’s the breakdown:
- The "3" is multiplied by the quantity \((x + 4)^2\).
- The expression \((x + 4)^2\) itself represents a product because it can be expanded as \((x + 4)(x + 4)\).
While \(x^8\) represents a power, \(3(x + 4)^2\) explicitly shows a multiplication between the constant 3 and the squared term.
Here’s the breakdown:
- The "3" is multiplied by the quantity \((x + 4)^2\).
- The expression \((x + 4)^2\) itself represents a product because it can be expanded as \((x + 4)(x + 4)\).
While \(x^8\) represents a power, \(3(x + 4)^2\) explicitly shows a multiplication between the constant 3 and the squared term.