Apply the Distributive Property to generate an expression equivalent to 8(3+j)

Question

.(1 point)
Responses

24+j
24 plus j

24+8j
24 plus 8 j

11+8j
11 plus 8 j

24−j

Answer 1

To apply the Distributive Property to the expression \( 8(3 + j) \), we need to distribute the 8 to both terms inside the parentheses:

\[ 8(3 + j) = 8 \cdot 3 + 8 \cdot j \]

Calculating this gives:

\[ 8 \cdot 3 = 24 \] \[ 8 \cdot j = 8j \]

So, combining these results, we have:

\[ 8(3 + j) = 24 + 8j \]

The expression equivalent to \( 8(3 + j) \) is \( 24 + 8j \).

Therefore, the correct response is:

24+8j
24 plus 8 j