Using Boolean algebra, simplify the following expressions. Please state the Boolean identity or the Boolean theorem applied there, next to each simplification step. i. Z=(A+Ā).(A.B+A.B.C) ii. F=(A+B.C).(A+B.C) iii. X= A.B.C+Ā.C+A.B.C+A.C iv. Z (A.B.C). [A.B+C.(B.C+A.C)]

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