simplifying boolean expression in minterm

Question

i am trying to simply the equation and stuck. Sum symbol(2,4,6,7). It means $$ F = A'BC' + AB'C' + ABC' + ABC $$ $$ = A'BC' + AB'C' + AB(C' + C) $$ $$ = A'BC' + AB'C' + AB $$ After the last equation part, I haven't gone on. Did I choose wrong way for the simplification?

Answer 1

$$\begin{align}F &= A'BC' + AB'C' + \color{blue}{ABC'} + ABC\\~\\&=A'BC' + AB'C' + \color{blue}{ABC' +ABC' +ABC' } + ABC\\~\\ &= (A'BC'+\color{blue}{ABC'}) +( AB'C' + \color{blue}{ABC'} ) + (ABC+ \color{blue}{ABC'} ) \\~\\&=BC' + AC' + AB\end{align}$$

Answer 2

You could use a Karnaugh map to do it.