pressions s is equivalent. Show your work. 2. $4(x+y)$ and $4 y+4 x$

Step 1 ：We are asked to prove if the expressions \(4(x+y)\) and \(4y+4x\) are equivalent.

Step 2 ：To do this, we can expand the first expression and compare it with the second expression. If they are the same, then the expressions are equivalent.

Step 3 ：Expanding the first expression, we get \(4*x + 4*y\).

Step 4 ：The second expression is already in expanded form, which is \(4*x + 4*y\).

Step 5 ：Comparing the expanded forms of both expressions, we see that they are the same.

Step 6 ：Thus, the original expressions are equivalent.

Step 7 ：\(\boxed{\text{The expressions } 4(x+y) \text{ and } 4y+4x \text{ are equivalent.}}\)