Identifying Equivalent Determine whether each pair of expre (1) $2(x-y)$ and $2 x-2 y$

Step 1 ：Determine whether each pair of expressions are equivalent: \(2(x-y)\) and \(2x-2y\).

Step 2 ：The two expressions are equivalent if they simplify to the same expression.

Step 3 ：Distribute the 2 in the first expression to see if it simplifies to the second expression: \(2*x - 2*y\).

Step 4 ：Compare the simplified expressions: \(2*x - 2*y\) and \(2*x - 2*y\).

Step 5 ：The two expressions are equivalent.

Step 6 ：Final Answer: The two expressions \(2(x-y)\) and \(2x-2y\) are equivalent. Therefore, the answer is \(\boxed{True}\).