Question

All of the following are equivalent to 2(2a + b) + 8, except _____.

A. 4 a + 2 b + 8
B. 4( a + b + 2)
C. 4 a + 2( b + 4)

Answer 1

B. 4( a + b + 2)

Explanation:

Task: Simplify 2(2a + b) + 8

1. Distribute the 2

4a + 2b + 8

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Evidently, that is the same as A, so A is correct.

Now if we try C, 4a + 2(b+4), we see we need to simplify to check.

So let us distibute the 2.

4a + 2b + 8. Also correct.

This probably means that B is incorrect.

4(a + b + 2)

Let's distribute the 4.

4a + 4b + 8

This is incorrect because only have two "b".