Question

zapisz jak w najprostszej postaci ;

x-{x-[x-(1-x)-(x-1)+x]-(1-x} =

x+(1-x(1-x))

Answer 1

x-{x-[x-(1-x)-(x-1)+x]-(1-x)}= x-{x-[x-1+x-x+1+x]-(1-x)} = x-{x-[2x]-(1-x)}=x-{x-2x-1+x}=x-{-1}=x+1

 

x+(1-x(1-x))=x+(1-x+x²)=x+1-x+x²=x²+1

Answer 2

x-{x-[x-1+x+x]-(1-x}=x+(1-x(1-x))

x-{x-x-1+x+x]-(1-x}=x+(1-x+x²)

x-x+x+x-x-x-x+x=x+1-x-x²

4x-4x=-x²+1