Boolean algebra rule?
I am trying to simplify something easy, but it has been a while and ive forgotten some rules:
(a + b) * (~b + c) =? (a * ~b) + (a * c) + (b * ~b) + (b * c) =? [a * (~b + c)] + [b * (~b + c)]
ok so far i have: a(~b+c) + b(~b+c)
there is a rule for this but i cant remember do both the (~b+c) just cancel out like in regular math or what is the rule?
The final answer should be: (a + c)
I know there are other steps that be be taken to simplify differently, however I want to know what to do when your in this situation: a(~b+c) + b(~b+c)