1. chart method, you list the truth values of all expressions, which is troublesome but intuitive.
2. Identity method
(p∧? q)∨(? p∧q)
=[(p∧? q)∨? p]∧[(p∧? Q)∞q]- distribution law
=[(p∨? p)∧(? q∨? p)]∧[(p∨q)∧(? Q∨q)]-distribution law
=[T∧(? q∨? P)]∧[(p∨q)∧T]-Negative Law
=(? q∨? P)∧(p∨q)-identity law
=(p∞q)∧(? q∨? P)-commutative law
=(p∞q)∧? (p∧q)-De Morgan's Law