Сократите дробь 8^n+27^n/9^n-6^n+4^n

Question

Сократите дробь 8^n+27^n/9^n-6^n+4^n

Answer 1

(8^n+27^n)/(9^n-6^n+4^n)=(2^(3n)+3^(3n)/(3^(2n)-2^n*3^n+2^(2n))=
­=(2^n+3^n)*(3^(2n)-2^n*3^n+2^(2n))/)/(3^(2n)-2^n*3^n+2^(2n))=(2^n+3^n)