Hello, does anyone here know boolean logic, this is another part i am studying, so i was wondering if any of you lot actually know the methodology behind this technique.

The book i am using only has selected answers, so in fact i don't even know if i am correct when i attemp the question.

Prove following relationships are correct:-

a.) (A + B).(A + C) = A + (B.C)

is there a shortcut thorough this technique, any tips or suggestion would be helpful.