Simplifying boolean equation ~A~C + ~ABC + ~BC

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adamBatakji
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Hi guys I need some strategies in simplifying this boolean equation please.

~=not
My problem is: ~A~C + ~ABC + ~BC

My first idea was to factor out ~A from the first two terms so I get : ~A(~C + BC) + ~BC)

Any help would be appreciated. Thanks!
 
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Are you familiar with Karnaugh maps? They can help you simplify these sorts of expressions very quickly.
 
Well I am a little familiar with it but not enough. My professor wants us to use the boolean laws to simplify these. Thats what I need help using. I've been stumped on this one for too long