Question

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=

Answer 1

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

 

d)1-a-[1-(a-1)-2a-(1-3a)]= -a-1=1-a=[1-a+1-2a-1+3a]-a-1=1-a-1+a-1+2a+1-3a-a-1=2a-1

Answer 2

a) a-[a-(1-a)]= a-[a-1+a]= a-a+1-a=1-a

b) -x-[-(1-x)-(x-1)]= -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]= x-y+x-y+x+y-x= 2x-y

d) 1-a-[1-(a-1)-2a-(1-3a)]-a-1= 1-a-[1-a+1-2a-1+3a]-a-1= 1-a-1+a-1+2a+1-3a-a-1= -1-2a