Computer organization BOOLEAN FUNCTIONS

Can someone help me with finishing these and/or helping me figure out where I went wrong?

Using this table:

Simplify the following functional expressions using Boolean algebra and its identities. List the identity used at each step.

a) (ab + c + df)ef

(Work shown in pictures below)

b) x + xy

(Work shown in pictures below)

C) (xy + xz)(wx + yz)

(Work shown in pictures below)

ldentity Name AND Form OR Formm Identity Law Null (or Dominance) Law | Ox=0 Idempotent Law Inverse Law Commutative Law Associative Law Distributive Law Absorption Law DeMorgan's Law Double Complement Law 1x=x 0+x = x 1+x=1 xx = 0 xy=yx (xy)2=x(yz) | x +yz = (x +y) (x +z) x (y +z) = xy + xz x+x = 1 x+y =y +x (x+y) + z = x + (y+z) 5 Basic Identities of Boolean Algebra TABLE