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

Answer

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Answer

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

Steps

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 $\boxed{True}$.