Prove the following tautologies by starting with the left side and finding a series of equivalent wffs that will convert the left side into the right side. You may use any of the equivalencies in the list on page 9 or the equivalencies from Exercise 26.
a. \(\left(A \wedge B^{\prime}\right) \wedge C \leftrightarrow(A \wedge C) \wedge B^{\prime}\)
b. \((A \vee B) \wedge\left(A \vee B^{\prime}\right) \leftrightarrow A\)
c. \(A \vee\left(B \wedge A^{\prime}\right) \leftrightarrow A \vee B\)