Simplify each of the following Boolean expressions algebraically. State which theorems$/$laws you use at each simplification step. a$.$ AB$($C$\text{'}+$D$)+$B$($C$\text{'}+$D$)$ b$.[$W$+$X$\text{'}($Y$+$Z$)][$W$\text{'}+$X$\text{'}($Y$+$Z$)]$ c$.[($XY$\text{'})\text{'}+($X$\text{'}+$Y$)\text{'}$Z$]$ d$.[($A$\text{'}+$B$\text{'})\text{'}+($A$\text{'}$B$\text{'}$C$)\text{'}+$C$\text{'}$D$]\text{'}$