ABC$+$B$+$ABD$+$AC

$($b$)$ ABC$+$ABC$+$ABC$+$ABC$+$A'B'C'

$($c$)$ A$+$B $($AC$+($B$+$C$)$ D$)$

Simplify the given Boolean expressions to minimum numbers of terms and literals by applying laws and rules of Boolean algebra:

$($a$)A{B}^{\text{'}}C+B+AB{D}^{\text{'}}+A^{\text{'}}C$

$($b$)$ ABC$+A^{\text{'}}{B}^{\text{'}}C+A^{\text{'}}BC+AB{C}^{\text{'}}+A^{\text{'}}{B}^{\text{'}}{C}^{\text{'}}$

$($c$)A+B[AC+(B+C^{\text{'}})D]$v