Solving Boolean Equation: A̅D + AB̅C̅D

[ellped]

boolean equation

= A̅D + AB̅C̅D
= D (A̅ + AB̅C̅) * rule A + A̅B = AB ?
= A̅D + B̅C̅D

am i using the rule correct or does A̅ + A make it a 1 and answer D(1)

 

[saltine]

I think your rule on the second line should be:

A or (not A) B = A or B