Boolean simplification question - $\neg A\neg B + \neg A\neg C + \neg A\neg BC$

Question

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.

Answer 1

as @an4s has commented,

¬A¬B+¬A¬C+¬A¬BC = ¬A(¬B+¬C)

The equation cannot reduce to ¬A+BC.

Please check.