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Which of the following indentities is true?
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- A + BC = (A + B) (A + C)
- A + BC = (A + B) (A + C)
- A + BC = (A + B) (A + B)
- A + BC = (A + B) (A + C)
Correct Option: D
Apply hit and trial method
(A) A + AC + AB + BC = A + BC: i.e., False
(B) AC + AB + BC: i.e., False
(C) AC + AB + BC = AC + AB = BC + AA = A (A + B) + C (A + B) = (A + C) (A + B)
which is ≠ LHS i.e., False
(D) A + AC + AB + BC
= A (1 + C) + AB + BC
= A + BC
= L.H.S. True
Hence alternative (D) is the correct answer.
