How to solve this boolean Exp?

Question

Boolean Expression is (A+B).(B+C)

Please give a detailed explanation.

Answer 1

(A+B)(B+C)=(B+A)(B+C) commutative law

                     =B+AC           distributive law

Another way is to to multiply it and reduce it

(A+B)(B+C)=AB+AC+BB+BC=AB+AC+B+BC=B(A+1+C)+AC=B+AC

Answer 2

(A+B)(B+C) = AB + AC + BB + BC = AB + AC + B + BC = AC + B(1 + C + A) = AC + B

Answer 3

apply distributive law u will get (b+ac)