Let p,q,r be three statements. Then ∼(p ∨(q ∧ r)) is equal to
(∼p ∧∼q) ∧ (∼p ∧∼r)
(∼p ∨∼q) ∧ (∼p ∨∼r)
(∼p ∧∼q) ∨ (∼p ∧∼r)
(∼p ∨∼q) ∨ (∼p ∨∼r)
∼(p ∨(q ∧ r))=∼p ∧∼(q ∧ r)=∼p ∧ (∼q ∨∼r)=(∼p ∧∼q) ∨ (∼p ∧∼r)