Question

The following expression may be simplified as (AB + C + DC)(AC + BC + D)
1. A + B + C + D
2. AB + BC
3. AB + BC + CD
4. AC + BC + DC + ABD

Answer 1

Correct Answer - Option 4 : AC + BC + DC + ABD

(AB + C + DC)(AC + BC + D)

= (AB + C[1+ D])(AC + BC + D)

= (AB + C) (AC + BC + D)

= ABC + ABC + ABD + AC + BC + CD

= ABC + ABD + AC + BC + CD

= AC (1 + B) + ABD + BC + CD

= AC + BC + CD + ABD