Question

Determine whether each pair of expressions is equivalent. Show your work. 2(x-y) and 2x - 2y

Answer 1

Equivalent expressions are expressions that have the same values

Both expressions are equivalent

How to determine if the expressions are equivalent

The expressions are given as:

2(x-y) and 2x - 2y

Start by expanding 2(x-y).

$2(x-y) =2x - 2y$

The above equation means that:

2(x-y) has the same value as 2x - 2y

Hence, both expressions are equivalent

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