x8=3(x+4)2 which expression in the equation represents a product

3 answers

Let's simplify the given equation step by step:

The equation is: \[ x^8 = 3(x + 4)^2 \]

Now, identify the components of the equation:

  1. Left side: \( x^8 \) is a term, but it does not represent a product of two factors.
  2. Right side: The expression \( 3(x + 4)^2 \) consists of a product of two elements:
    • The constant \( 3 \)
    • The squared term \( (x + 4)^2 \)

So, the expression in the equation that represents a product is: \[ 3 \cdot (x + 4)^2 \]

In summary, the entire right-hand side \( 3(x + 4)^2 \) represents a product, where \( 3 \) is multiplied by \( (x + 4)^2 \).

answer

The expression in the equation \( x^8 = 3(x + 4)^2 \) that represents a product is:

\( 3(x + 4)^2 \)

This expression consists of the product of the constant \( 3 \) and the squared term \( (x + 4)^2 \).