where, D=Aâ‹…B+Aâ‹…B Put A=1 and B=1, then D=1â‹…1+1â‹…1=1â‹…0+0â‹…1=0+0=0 So, this option is wrong. In option (b)
where, D=[(A+B)+(A+B]=[(A+A)+(B+B)] In option (c)
where, D=(A+B)⋅(A+B) ‌‌=A⋅A+A⋅B+B⋅A+B⋅B ‌‌=0+A⋅B+B⋅A+0=A⋅B+A⋅B Put A=1 and B=1 then D=1⋅1+1⋅1=1⋅0+0⋅1=0+0=0 So, this option is wrong. In option (d)
where, D=Aâ‹…B+Aâ‹…B Put A=1 and B=1, then D=1â‹…1+1â‹…1=1+0â‹…0=1+0=1 So, this option is right.