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.
determine wether the following exspressions are equivalent
94a+28 and 108a-14(a-2)
3 answers
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.
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.
1 answer