Apply DeMorgan's Theorems to the expression and simplify.

$x\frac{?}{b}=ar(AB)\frac{+}{b}ar\frac{C}{b}ar(D)$

Simplify by using Boolean Algebra rules. Show all work.

$x=(A+\frac{B}{b}ar(B))BC+BC\frac{+}{b}ar\frac{A}{b}ar(B)$

Simplify the following expression using a Karnaugh Map.