Question

(2017^3 - 1)/(2018^2+2017^2+1)

Answer 1

Vamos lá ..

Sendo 2017 = x , temos

x³-1 / [(x+1)²+x²+1] =

x³-1 / [x²+2x+1+x²+1] =

x³-1 / 2x²+2x²+2 =

(x-1).(x²+x+1) / 2.(x²+x+1) =

x-1 / 2

Substituindo o valor de x :

2017-1 / 2 =

2016/2 =

1008 .