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My question is how do I reduce the Boolean simplification question - $\neg A\neg B + \neg A\neg C + \neg A\neg BC$ to get $\neg A+BC$. I'm so lost just been trying to get it for awhile only using the 10 boolean simplification rules.

an4s
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    The expression reduces to $\neg A(\neg B + \neg C)$. – an4s Feb 08 '20 at 23:39
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    If A, B and C are all true then the left side is false (all terms in the sum are conjunctions involving a false statement) but the right side is true (contains a conjunction of true statements). Something seems typed wrong. – Oscar Lanzi Feb 08 '20 at 23:43

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as @an4s has commented,

¬A¬B+¬A¬C+¬A¬BC = ¬A(¬B+¬C)

The equation cannot reduce to ¬A+BC.

Please check.