Question

use the distributive property to write an expression equivalent to (6(2 + 4y)).(6(2 + 4y)=)? (+)?

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c)=ab + ac \). For \( 6(2 + 4y) \), we distribute 6 to both 2 and \( 4y \).
First, calculate \( 6\times2 \).
\( 6\times2 = 12 \)

Step2: Calculate the second term

Next, calculate \( 6\times4y \).
\( 6\times4y=24y \)
So, \( 6(2 + 4y)=12 + 24y \). Looking at the first dropdown, the value is 12. For the second term, although 24y isn't in the dropdown shown (maybe a partial view), but based on the first part, the first blank is 12.

Answer:

First blank: 12, Second blank: 24y (but from the given dropdown for the first part, the answer for the first box is 12)