Question

Determine whether each pair of expressions is equivalent 2(x - y) and 2x – 2y

Answer 1

The given expressions are equivalent.

Explanation:

Simplify
`2(x-y)`.

`2(x-y)\\\\\\\text{Distribute: }\left \{ {{2*x-=2x} \atop {2*y=2y}} \right. \\\\\boxed{2x-2y}`

`\boxed{2x-2y=2x-2y}\\\\\text{Therefore:}\\\\\boxed{2(x-y)=2x-2y}`

Hope this helps.