Упростите логические выражения :
a) X & Y v (X & Y) v Z
б) (A v B & C) v (A v B & не C)v A v не B
а) Х ⋀ Y ⋁ (X ⋀ Y) ⋁ Z = Х ⋀ Y ⋁ Z
б) (A v B ⋀ C) v (A v B ⋀ ¬ C) v A v ¬ B = A v (B ⋀ C) v A v (B ⋀ ¬ C) v A v ¬ B =
= A v (B ⋀ C) v (B ⋀ ¬ C) v ¬ B = A v (B ⋀ C) v (¬ B v ¬ C) = A v (B ⋀ C) v ¬ B v ¬ C =
= A v ¬ B v C v ¬ C = A v ¬ B v 1 = 1