Given that
F = AB (B'C + AC)
Now find F' = ?
F' = (AB(B'C + AC))'
F' = (AB)' + (B'C + AC )' (Using Demorgan's Law :(AB)' = A' + B'
F' = (A' + B') + (B'C)'.(AC)' (Again Using Demorgan's Law)
F' = (A' + B') + (B + C').(A' + C') (Again using Demorgan's Law)
So Option (A) is a correct answer