I'm having a lot of trouble with two problems the first is:
1) (y*w) + y + w What I tried here is applying the distributive law as follows (y*w) + (y+w) ((y+w) + y) * ((y+w) + w) ((y*w) + y) * ((y*w) + w)
then applying the absorption law and getting y*w but the answer is y + w, so I'm unsure how to get it using the laws of Boolean algebra.
2) The second problem I am having issues with is
Prove that if x*y = x then ~x*~y = ~y
What I tried was negating both sides of the first expression and plugging into the second but that isn't allowed in Boolean algebra it seems.