Boolean algebra problem

[waver.]

https://scontent-mxp1-1.xx.fbcdn.net/v/t35.0-12/13324008_10209600482268675_3779883_o.png?oh=abd4c815b9472f70cfbfbb1923a37b3c&oe=5752F454

Number 12 : I have simplified it and I have got AB but the model answer in red say A(comp(B)+c)
I just want is that answer true or not , thanks in advance

 

[mfb]

Why don't you check yourself? What is the output if $A \overline B$ (and choose whatever you like for C)?

 

[YanivW]

You are right. You can easily see that every input that includes B=0 gives a 0 output, when by the answer in red (A,B,C)=(1,0,0) for example should give 1.

 

[NascentOxygen]

To get the textbook's answer, you need to restore a missing inverter so the upper AND gate receives $\overline B$ at its lower input.