[tex]\rm (x+1)(x-1)(x^2+1)(x^4+1)(x^8+1)....({x^{2}}^{100}+1)= \\ \\
(x^2-1)(x^2+1)(x^4+1)(x^8+1)....(x^{200}+1)= \\ \\
(x^4-1)(x^4+1)(x^8+1)....(x^{200}+1)= \\ \\
(x^8-1)(x^8+1)....(x^{200}+1)= \\ \\
..... \\ \\
(x^{200}-1)(x^{200}+1)= \\ \\
\boxed{\rm Raspuns:x^{400}-1}[/tex]
