a$.)$ Simplify the Boolean expression $(\frac{?}{\text{b}\text{a}\text{r}}(A*(\frac{?}{\text{b}\text{a}\text{r}}(B))+C))*(\frac{?}{\text{b}\text{a}\text{r}}(A)\frac{+}{b}ar(B*(\frac{?}{\text{b}\text{a}\text{r}}(C))))$ by using de Morgan's laws and the rules of Boolean algbra.

b$.)$ Prove the the Boolean expression from problem a$.)$ equivalences with your simplify term using truth table.