The Correct Answer is AB + A'C. The simplification of the boolean expression: AB+A’C+BC = AB + A’C + BC*1 {as A*1 = A} = >AB + A’C + BC(A + A’) {as Complement law: A + A’ = 1} = >AB + A’C + ABC + A’BC {as Absorption law: A(B + C) = AB + BC & AB = BA} = >AB + ABC + A’C + A’CB {as Commutative Law: A + B = B + A & AB = BA} = >AB*1 + ABC + A’C*1 + A’CB {as A*1 = A} = >AB(1 + C) + A’C(1 + B) {as AB + BC = A(B + C)} = >AB*1 + A’C*1 {as 1 + A = 1} = >AB + A’C {as A*1 = A} ans

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BC is the correct ans

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