[tex]x^{1024}-1 =[/tex]
[tex]=\left(x^{512}\right)^2-1^2[/tex]
[tex]=\left(x^{512}+1\right)\left(x^{512}-1\right)[/tex]
[tex]=\left(x^{512}+1\right)\left(x^{256}+1\right)\left(x^{128}+1\right)\left(x^{64}+1\right)\left(x^{32}+1\right)\left(x^{16}+1\right)\left(x^8+1\right)\left(x^4+1\right)\left(x^2+1\right)\left(x+1\right)\left[/tex][tex](x-1)[/tex]
Sper ca te-am ajutat!