Simplify by any method to minimum SOP A’B’D+ABC’+AB’CD+BC+A’CD+BCD identify the consensus term

Simplify to minimum SOP ab+a’c+bc

Simplify this to a minimum SOP ABC’+(ABC’)’

Simplify this to a minimum SOP (AB+C)+(D+EF)(AB+C)’

Simplify to minimum representation Match to best answer, you can use an answer more than once

a. z’(x + xy + xyz) =  b. (ab’c)’ac = d. xz + x’yz =  e. ABC’ + AB’C’ + AB’C =  a)    a’bc’ + ab’c’ + a’b’c + a’b’c’ =  b)    (ab + a + abc)c’ =  c)    (x’y + xz + yz)w’ =  d)    (xy)’w + xy =  a)    (a’b’c’)’ =  b)    (ab)’c+abc =  c)    (AB+B+ABC)D = d)   x’ + xy =  e)   A’BC’ + A’B’C’ = 

Simplify this to a minimum SOP (AB+CD’)(AB+D’E)

Simplify this expression to a minimum SOP (CD+A’+B’)(CD+A’+B)

Simplify to minimum SOP (a+b) + a’b’c 

Find the dual of  ab + ab’ = a