Question

Efetue a operação e depois simplifique:

(x²+1)-(x+1)/(x³+1)-(1+x)

Answer 1

vamos lá...

$\frac{(x^2+1)-(x+1)}{(x^3+1)-(1+x)} = \\ \\ \frac{x^2+\not1-x-\not1}{x^3+\not1-\not1-x} = \\ \\ \frac{x^2-x}{x^3-x} = \\ \\ fatorando \\ \\ \frac{x(x-1)}{x(x^2-1)} \\ \\ \frac{\not x(x-1)}{\not x(x+1)(x-1)} = \\ \\ \frac{1}{x+1}$