The first equation that I've pretty much solved has boiled down to this:

1.) A!B! + B!C + A! + B! + C! (Where ! means not. E.g A! = A not)

Final answer suppose to be A! + B! + C!

and secondly

2.) Q! + R! + S! + R!S + QR!R!

Final Answer suppose to be Q! + R! + S!

I cant seem to figure out what to do next. Im not aware of any law that can be applied here...though I do notice in both expressions B! and R! may have something to do with it respectively?

Thanks!