Zadanie 1. Podane wyrażenia zapisz w jak najprostszej postaci. a) a-[a-(1-a)] b) -x-[-(1-x)-(x-1] c) x-[y-(x-y)-x-(y-x] d) 1-a-[1-(a-1)-2a-(1-3a]-a-1

a)a-[a-1+a]=a-2a+1=-a+1 b)-x-[-1+x-x+1]=-x+1-x+x-1=-x c)x-[y-x+y-x-y+x]=x-y+x-y+x+y-x=2x-y d)1-a-[1-a+1-2a-1+3a]-a-1=1-a-1-a-1=-1-2a

a-[a-(1-a)]=a-[a-1+a]=a-a+1-a=1-a x-[-(1-x)-(x-1)]=x-[-1+x-x+1]=x+1-x+x-1=x x-[y-(x-y)-x-(y-x)]=x-[y-x+y-x-y+x]=x-y+x-y+x+y-x=2x-y 1-a-[1-(a-1)-2a-(1-3a)]-a-1=1-a-[1-a+1-2a-1+3a]-a-1=1-a-1+a-1+2a+1-3a-a-1=-1-2a