Determine whether the following expressions are equivalent:%0D%0A%0D%0A94a+28 and 108a−14(a−2).%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0ANo, because 108a−14(a−2) simplifies to 136a−14.%0D%0ANo, because 108 a minus 14 left parenthesis a minus 2 right parenthesis simplifies to 136 a minus 14 .%0D%0A%0D%0AYes, because 108a−14(a−2) simplifies to 94a+28.%0D%0AYes, because 108 a minus 14 left parenthesis a minus 2 right parenthesis simplifies to 94 a plus 28 .%0D%0A%0D%0AYes, because 108a−14(a−2) simplifies to 28−94a.%0D%0AYes, because 108 a minus 14 left parenthesis a minus 2 right parenthesis simplifies to 28 minus 94 a .%0D%0A%0D%0ANo, because 108a−14(a−2) simplifies to 94a−28.

Question

Determine whether the following expressions are equivalent:%0D%0A%0D%0A94a+28 and 108a−14(a−2).%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0ANo, because 108a−14(a−2) simplifies to 136a−14.%0D%0ANo, because 108 a minus 14 left parenthesis a minus 2 right parenthesis simplifies to 136 a minus 14 .%0D%0A%0D%0AYes, because 108a−14(a−2) simplifies to 94a+28.%0D%0AYes, because 108 a minus 14 left parenthesis a minus 2 right parenthesis simplifies to 94 a plus 28 .%0D%0A%0D%0AYes, because 108a−14(a−2) simplifies to 28−94a.%0D%0AYes, because 108 a minus 14 left parenthesis a minus 2 right parenthesis simplifies to 28 minus 94 a .%0D%0A%0D%0ANo, because 108a−14(a−2) simplifies to 94a−28.

Answer 1

Let's simplify the expression 108a − 14(a − 2):

1. Distribute the -14 across (a − 2) to get:
108a − 14a + 28

2. Combine like terms (108a and -14a):
94a + 28

Now we can compare the simplified expression to the original expression 94a + 28:

94a + 28 ≟ 94a + 28

Since the left side of the original question is the simplified form of the right side, the two expressions are indeed equivalent.

Therefore, the correct response is:

Yes, because 108a−14(a−2) simplifies to 94a+28.