Question

x + 1 / x² + 2x + 1

ajudae pfv

Answer 1

$\cfrac{x+1}{x^2 + 2x + 1} \\\\= \cfrac{x+1}{x^2 + 2(x)(1) + 1^2}$

Produto notável, $a^2 + 2ab + b^2 = (a+b)^2$

$= \cfrac{x+1}{(x+1)^2}\\\\= \cfrac{x+1}{(x+1)(x+1)}\\\\= \cfrac{1}{x+1}$