so I have been trying to learn simplifying boolean Algebra, lets look at this term : $$ (a*b)+(a*\neg b)+(\neg a * \neg b)$$
I have several questions, I know how the right solution looks like but why couldn't I collect $a$ and $\neg a$?
1. $a* \neg a *(b+\neg b+\neg b)$
is the way I simplifyied it right, is it just non-sense doing it like this or what is I wrong with this?