1. A.A=A :- true ,idempotent property
2.Second option is also true as 1+X=x,so both lhs and rhs are 1.
3.A+BC=(A+B)(A+C)// true distributive property
4.4th is false. A'+AC=A'+C ,but this is not same as given in question.You can verify with truth table.
So 4th is false. D is correct answer