determine wether the following exspressions are equivalent

94a+28 and 108a-14(a-2)

3 answers

To determine whether the expressions 94a + 28 and 108a - 14(a - 2) are equivalent, we need to simplify the second expression and check if it equals the first expression.

Expanding the second expression:
108a - 14(a - 2) = 108a - 14a + 28
= 94a + 28

Thus, the two expressions are equivalent.
can you explain to me why they are equivalent
Sure! Let's break it down step by step:

The initial expression is 94a + 28.

To simplify the second expression, we need to distribute the -14 to both terms inside the parentheses:
108a - 14(a - 2)

Distributing the -14:
= 108a - 14a + 28

Combining like terms:
= 94a + 28

When we simplify the second expression, we end up with the same expression as the first one, 94a + 28. This indicates that the two expressions are equivalent because they have the same simplified form.
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