Question

Пусть a-1/a=2/3 найдите (a^12+1)/a^6

Answer 1

(a^12+1)/a^6=((a^12-2a^6+1)+2a^6)/a^6=(a-1)^6/a^6+2a^6/a^6=((a-1)/a)^6+2=(2/3)^6+2=64/729+2=2целых 64/729