# Math Help - Proving identity using laws of logic help?

1. ## Proving identity using laws of logic help?

Ok so right now I'm doing math in college and we are learning about Logic.

Here is the laws of logic sheet:

And here is the equation I'm on and the part that I get stuck at:

"Prove using the laws of logic, that the following statement is true."

This is as far as I could get.

Thanks a lot for any help

2. ## Re: Proving identity using laws of logic help?

you can simplfy the part with the B's:

$B+B\overline{C} = B1 + B\overline{C} = B(1+\overline{C}) = B1 = B$

now, what is:

$(\overline{A}\ \overline{B})B$ ?