3. Simplification of the Boolean expression (A+B+C)(D+E)' + (A+B+C)(D+E) yields which of the following results?

  1. A + B + C
  2. D + E
  3. A'B'C'
  4. D'E'
  5. None of the above

1 is CORRECT. Substitute x = A + B + C, y = D + E in the expression. The resulting pattern matches the logic adjacency theorem xy + xy' = x. The answer is x = A + B + C

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