Answer :
Let R=A AND (NOT B)] OR (NOT B)
If A=T, B=T
then ~B=F,
A and ~B = F
So R=F
If A=T,
B=F ~B=T
A and ~B=T
so (A and ~B) or ~B = T etc.
If A=T, B=T
then ~B=F,
A and ~B = F
So R=F
If A=T,
B=F ~B=T
A and ~B=T
so (A and ~B) or ~B = T etc.