Determine whether the following expressions are equivalent:

Question

94a+28 and 108a−14(a−2) .

Answer 1

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.