Question

Show that [An(AnB)']= A'uB by the Use of laws of Algebra of sets​

Answer 1

A` ∪ B - not A and B. So basically that is everything except A - A ∩ B (including the cases outside).

A ∩ (A ∩ B)` = A - A ∩ B

So, I would say the statement is false.