Q$3(6$ points$)$ Using the properties of Boolean algebra, simplify the following

Boolean expressions to a minimum sum$-$of$-$product $($SOP$)$ expression. Show your

steps for a full mark:

a$)x^{\text{'}}z+x{y}^{\text{'}}z=xyz$

b$)a^{\text{'}}{b}^{\text{'}}{c}^{\text{'}}+a^{\text{'}}{b}^{\text{'}}c+abc+a{b}^{\text{'}}c$