$[5][20$ points total, $5$ points each$]$ Simplification of Logic Functions using Boolean Algebra

Simplify the following Boolean expressions to a minimum number of literals using only Boolean algebra $($show all your steps for credit$).$

$($a$)F(x,y,z)=x^{\text{'}}*y^{\text{'}}*z^{\text{'}}+x*z+x^{\text{'}}*y^{\text{'}}*z$

$($b$)F(x,Y)=(x^{\text{'}}+Y)*(x^{\text{'}}+Y^{\text{'}})$