Draw the logic circuit for the function f(a, b, c) = a. b. c + a. b + a. b + a. b. c

Question

Draw the logic circuit for the function

f(a, b, c) = \(a. b. c + \bar a. b + a. \bar b + a. b. \bar c\)

OR 

Prove algebarically.

\(x. y + x. \bar y. z = x. y. +x. z\)

Answer 1

OR 

\(x.y+x.\bar y.z=x.(y+\bar y.z)\)

x . (y + z) = x . y + x . z 

Hence proved.