Answer
(x + y + z) + (~x + y + z) + (~x + ~y +~ z) will be equal to
Work Step by Step
-There are three input that are followed up by NOR gate
-Three of the inputs are Designed as Nor gate
1)input one has x y z as input
--that give ( x+ y + z)
2) input have x in inverted
--that give (~ x +y +z)
3) THree of the inputs are inverted as
--( ~x + ~y + ~z)
---(x + y + z) + (x + y + z) + (x + y + z)