A is true statement because

A∖B is the set of elements which are in A but not in B

⇒A∖B is the set of elements which are in A and in B'

⇒A∖B is the set of elements of A⋂B'

∴A∖B=A⋂B'

B is true statement because

A∖B is the set of elements which are in A but not in B

⇒A∖B is the set of elements which are in A but not in A⋂B'

⇒ A∖B=A∖(A⋂B')

C is false statement because

A∖B=A⋂B' and A∖B^'=A⋂B

∴A⋂B'≠A⋂B⇒A∖B≠B∖A.