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The complement of the Boolean expression $$AB(\overline{B}C + AC)$$ is
$$(\overline{A} + \overline{B}) + (B + \overline{C}).(\overline{A} + \overline{C})$$
$$(\overline{A} . \overline{B}) + (B \overline{C} + \overline{A} \overline{C})$$
$$(\overline{A} + \overline{B}) . (B + \overline{C}) + (A + \overline{C})$$
$$(A + B).(\overline{B} + C)(A + C)$$
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