Please explain

(a) Prove p/ (q Vr) = (p/q) V (pAr) by using a truth table. (This is one of the Distributive laws for logical equivalences). (b) (10 points) Find an expression equivalent to p A (q Vr) in disjunctive normal form or sum-of-products form using minterms. (This means write pA(qVr) = MIVM2 V ... VMk, where each M; has the form y1 A y2 Ay3, where y; is either x, or ~ xj, where x1 = p, x2 = q and x3 = r). (c) (10 points) Find an expression equivalent to p / (q Vr) in conjunctive normal form or product-of-sums form using maxterms. (This means write pA(q Vr) = MIAM2 A... AMk, where each M; has the form y1 Vy2 Vy3, where y; is either x; or ~ xj, where x1 = p, x2 = q and x3 = r)