Question

сократить дробь 4^n-2^(n+1)+1/4^n-1

Answer 1

(4ⁿ-2ⁿ⁺¹+1)/(4ⁿ-1)=(2²ⁿ-2·2ⁿ+1)/(2²ⁿ-1)=
=(2ⁿ-1)²/[(2ⁿ-1)·(2ⁿ+1)]=(2ⁿ-1)/(2ⁿ+1);