Find the Boolean algebra expression for the following system.

A$.$ Q$=($ABC$)+$A$($B$+$C$^(\text{'}))$

B$.$ Q$=($ABC$)+$A$($B$^(\text{'})+$C$^(\text{'}))$

C$.$

D$.$ Q$=($A$^(\text{'})$BC$)+$A$($B$^(\text{'})+$C$^(\text{'}))$

E$.$ Q$=($ABC$)+$A$($B$^(\text{'})+$C$)$