Question

Помогите номер 6 с решением

Answer 1

(x+1)(x-1)(x^2+1)(x^4+1)(x^8+1)/(x+1)-1/15*x^16=
(x^2-1)(x^2+1)(x^4+1)(x^8+1)/(x+1)-1/15^x^16=
=(x^4-1)(x^4+1)(x^8+1)/(x+1)-1/15*x^16=
=(x^8-1)(x^8+1)/(x+1)-1/15*x^16=(x^16-1)/(x+1)-1/15*x^16=
=[15x^16-15-x^16*(x+1)]/[15(x+1)]=x^16*[(15-x-1)-15]/[15(x+1)]=
=[x^16*(14-x)-15]/[15(x+1)]
x=14
[14^16*(14-14)-15]/(15*15)=-15/(15*15)=-1/15