(a) Use the law of extensionality to prove that (ANB) x C = (A x C) n(B x C) (b) The Boolean sum of product of a function f(x, y, z) is xyz + xyz + xyz + xyz i. Use Karnaugh map to find a minimal form of f(x, y, z) ii. Draw the Boolean circuit which gives the minimal form of f(x, y, z) as output.