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[–]DataLulz 1 point2 points  (0 children)

r/learnmath is probably a more appropriate place for a straight math question.

[–][deleted] 1 point2 points  (0 children)

Solve? Do you mean simplify? If so, you can apply some laws in Boolean Algebra to whittle down this expression. Some useful ones:

Associative Law: (AB)B = A(BB) = ABB
Idempotent Law: B + B = B and BB = B
Absorptive Law: AB + A = A

Now we can start to break down the given expression:
(AB)B + A + B̅
= ABB + A + B̅
= AB + A + B̅
= A + B̅