Determine whether the following expressions are equivalent:
94a+28 and 108a−14(a−2) .
To determine if the expressions are equivalent, we need to simplify both expressions and see if they are equal.
Expression 1: 94a + 28
Expression 2: 108a - 14(a - 2)
To simplify Expression 2, we distribute the -14 to both terms inside the parentheses:
Expression 2: 108a - 14a + 28
Combining like terms:
Expression 2: 94a + 28
Now we can see that Expression 1 and Expression 2 are the same:
94a + 28 = 94a + 28
Therefore, the expressions 94a + 28 and 108a - 14(a - 2) are equivalent.