Using DeMorgan's Law, write an expression for the complement of $F$ if $F(x,y,z)=x{y}^{\text{'}}(x+z).$

Using DeMorgan's Law, write an expression for the complement of $F$ if

Show that $xz=(x+y)(x+y^{\text{'}})(x^{\text{'}}+z)$

a$)$ Using truth tables

b$)$ Using Boolean identities

Use any method to prove the following either true or false.