Question

determine whether the following expressions are equivalent:

94a+28 and 108a−14(a−2).

(1 point)
Responses

No, because 108a−14(a−2) simplifies to 136a−14.
No, because 108 a minus 14 left parenthesis a minus 2 right parenthesis simplifies to 136 a minus 14 .

Yes, because 108a−14(a−2) simplifies to 28−94a.
Yes, because 108 a minus 14 left parenthesis a minus 2 right parenthesis simplifies to 28 minus 94 a .

No, because 108a−14(a−2) simplifies to 94a−28.
No, because 108 a minus 14 left parenthesis a minus 2 right parenthesis simplifies to 94 a minus 28 .

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

No, because 108a-14(a-2) simplifies to 108a-14a+28, which further simplifies to 94a+28. Therefore, the expressions 94a+28 and 108a-14(a-2) are equivalent.

Answer 2

choose one

Answer 3

[AI-generated answer — Bot GPT 3.5]

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

Answer 4

[AI-generated answer — Explain Bot]

To determine whether the given expressions are equivalent, we need to simplify both expressions and compare the results.

Let's start by simplifying the expression 108a - 14(a - 2):

Using the distributive property, we multiply -14 by each term inside the parentheses:
108a - 14(a) + 14(2)

Simplifying further:
108a - 14a + 28

Combining like terms, we get:
94a + 28

Now, we can see that the simplified version of 108a - 14(a - 2) is indeed 94a + 28.

So, the correct answer is:
Yes, because 108a - 14(a - 2) simplifies to 94a + 28.