# Boolean algebra how does $A'(B' *C+ B* C')$ simplify?

Does $$A'(B' *C+ B* C')$$ simplify to $$A'(1)$$? I'm a bit confused because I know that $$A+A' *B = A +B$$ so I'm wondering what happens in the above situation. I know this might be related to the two variable rule.

Note $$*$$ represents AND and $$+$$ represents OR

Thanks

• @CameronWilliams yes! I edited the question to be clearer! And I made a typo in my equation that just fixed Jan 30 '20 at 19:11
• This is false. Take $A=0, B=0,C=0$, then the left hand side evaluates to $0$ but $A'(1)$ evaluates to $1$. Jan 30 '20 at 19:15
• If you are stuck, with a small number of variables, just do a truth table. Jan 30 '20 at 19:16
• Unless you are allowed to use an XOR this doesn't really simplify. Jan 30 '20 at 19:18
• Ok. Thanks so much Cameron Williams and @copper.hat this has been very helpful to me! Jan 30 '20 at 19:29