Question

Решите пожалуйста №580(2) ( На Картинке)

Answer 1

$......= (frac{x(2x+1)}{(x-1)( x^{2} +x+1)} - frac{(x+1)}{ x^{2} +x+1})*( frac{x(x+1)+(x+1)(x+1)-x(x+5)}{x(x+1)})= \ frac{2 x^{2} +x-(x-1)(x-1)}{(x-1)( x^{2} +x+1)}* frac{ x^{2} +x+ x^{2} +2x+1- x^{2} -5x}{x(x+1)}= frac{ x^{2} +x +1}{(x-1)( x^{2} +x+1) }* frac{ x^{2} -2x+1}{x(x+1)}= \ frac{(x-1)(x-1)}{x(x-1)(x+1)}= [tex] frac{1-x}{ x^{2} +x}$