To answer this question, we need to expand the original expression using the distributive property, that is, we need to multiply 4 to either term of the expression into the parenthesis. Then, we have:
[tex]4(2x+y+2y)=4\cdot2x+4y+4\cdot2y=8x+4y+8y[/tex]
If we see this first result, we have one of the options above. Now, we can sum the like terms, that is, those ones with the y variable. Then, we have:
[tex]8x+4y+8y=8x+12y[/tex]
And we obtained another result among the choices.
Therefore, we have that the expressions that are equivalent to 4(2x + y + 2y) are:
1. 8x + 4y + 8y (last option), and
2. 8x + 12y (first option)
