Question

Ayúdenme con la pregunta uno y dos porfa les daré puntos

Answer 1

1. Realiza la siguiente operacion de fracciones, y señale la respuesta correcta:

$\frac{\:1}{\:x+1}+\frac{2x}{x^2+1}-\frac{1}{x-1}$

• Las propiedades.-            

$\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

• Solucion.-

$\frac{\left(x-1\right)\left(x^2+1\right)}{\left(x+1\right)\left(x-1\right)\left(x^2+1\right)}+\frac{2x\left(x+1\right)\left(x-1\right)}{\left(x^2+1\right)\left(x+1\right)\left(x-1\right)}-\frac{\left(x+1\right)\left(x^2+1\right)}{\left(x+1\right)\left(x-1\right)\left(x^2+1\right)}\\\\\\\frac{\left(x-1\right)\left(x^2+1\right)+2x\left(x+1\right)\left(x-1\right)-\left(x+1\right)\left(x^2+1\right)}{\left(x+1\right)\left(x-1\right)\left(x^2+1\right)}$

$\frac{2x^3-2x^2-2x-2}{\left(x+1\right)\left(x-1\right)\left(x^2+1\right)}$