Question

Simplificando a Fração algébrica, têm-se:

x²/x²+2x+1 - x-1/x+1

Answer 1

Olá, tudo bem? Vamos aos cálculos:

$\dfrac{x^2}{x^2+2x+1}-\dfrac{x-1}{x+1}=\\\\\\ \dfrac{x^2}{(x+1)^2}-\dfrac{x-1}{x+1}=\\\\\\\dfrac{x^2-(x-1)\cdot(x+1)}{(x+1)^2}=\\\\\\\dfrac{\not x^2-\not x^2+1}{(x+1)^2}=\\\\\\\boxed{\dfrac{1}{(x+1)^2}}}\,\,\text{(resposta final)}$

É isso!! :)