zapisz jak najprostrzej postaci wyra żenia x+[x-z(z-x)] -(-a)+(-b+a) a-[b-(a+b)] x-{x-[x-(x+1)-(x-1)-x]+(1-x)}

x+[x-z(z-x)]=x+[x-z²+zx]=x+x-z²+zx=2x-z²+zx -(-a)+(-b+a)=a-b+a=2a-b a-[b-(a+b)]=a-[b-a-b]=a-[-a]=2a x-{x-[x-(x+1)-(x-1)-x]+(1-x)} =x-{x-[x-x-1-x+1-x]+(1-x)}=x-{x-[-2x]+1-x}=x-{2x+1}=x+2x-1=3x-1

1) x+[x-z(z-x)] = = x+[x-z²+zx] = = x+x-z²+zx = = 2x-z²+zx 2) -(-a)+(-b+a) = = a-b+a = 2a-b 3) a-[b-(a+b)] = = a-[b-a-b] = = a-b+a+b = 2a 4) x-{x-[x-(x+1)-(x-1)-x]+(1-x)} = = x-{x-[x-x-1-x+1-x]+1-x} = = x-{x-x+x+1+x-1+x+1-x] = = x-x+x-x-1-x+1-x-1+x = = -x-1