14. Simplification of the Boolean expression AB + A(BC)' yields which of following results?

  1. A
  2. BC
  3. B
  4. AB
  5. (BC)'

1 is CORRECT. No Boolean property fits this expression directly, so you need to expand the (BC)' term:

AB + A(BC)' = AB + A(B' + C')  by DeMorgan's
            = AB + AB' + AC' 
              -------
            =    A     + AC' 
            = A by Absorption

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