archery

Verified answer

(x*!y+z)(!x+y)+!z =
= x*!y*(!x+y)+z*(!x+y)+!z =
= x*!y*!x+x*!y*y+z*(!x+y)+!z =

x*!y*!x = 0
x*!y*y = 0

= z*(!x+y)+!z