Answer:
C) 4(a + b + 2)
Step-by-step explanation:
In order to determine which equations is not equivalent to 2(2a + b) + 8, we need to solve the equation and match it with the options which are as follows:
A) 4a + 2b + 8
B) 2(2a + b + 4)
C) 4(a + b + 2)
D) 4a + 2(b + 4)
Therefore the equation, 2(2a + b) + 8 = 4a + 2b + 8
The first one 4a + 2b + 8 does match the equation mentioned in question.
The second one 2(2a + b + 4) = 4a + 2b + 8, therefore this is also equivalent.
The third one 4(a + b + 2) = 4a + 4b + 8. This one however is not equivalent to 2(2a + b) + 8 = 4a + 2b + 8.
The fourth one 4a + 2(b + 4) = 4a + 2b +8, this one is equivalent to 2(2a + b) + 8 = 4a + 2b + 8.
Hence, C) 4(a + b + 2) is the only one that is not equivalent to the equation 2(2a + b) + 8
