<s>[INST] How to simplify this Boolean expression F=(A+B+C)(A+B+C')(A+B'+C')
I used sop method and I am left with A+BC', so the above expression should leave me with (A+B)(A+C'). Iam not able to get to this answer. Help is appreciated.
 [/INST] $\begin{align}
F & =(A+B+C)(A+B+C')(A+B'+C') 
\\ & = (A+B+C)\Bigl((A+B+C')(A+B+C')\Bigr)(A+B'+C') 
\\ & = \Bigl((A+B+C)(A+B+C')\Bigr)\Bigl((A+B+C')(A+B'+C')\Bigr) 
\\ & = (A+B)(A+C')
\\ & = A+AB+AC'+BC' 
\\ & = A + BC'
\end{align}$
</s>