3. Using the laws of Boolean algebra, prove (or disprove) the expressions below. Ateach step, please state the law that you are using. [8 marks] \text { a) } A

A+A B+A C+B C=(A+B)(A+C) \text { b) } \overline{\overline{(A \cdot A)} \cdot(B \bullet B)}=A+B