Semiconductor Electronics Part 2

Given, logic inputs are given as
(A,B)=(0,0),(0,1),(1,0) and (1,1)
And the logic circuit is drawn as Output of the given logic circuit is given as
Y=AB.(A+B)
=AB+(A+B) [using de-Morgan’s theorem]
=(A+B)+A.B
=A+B+AB
Now, by using truth table for above logic circuit