Question

Помогите с Алгеброй Срочно
50 баллов

Answer 1

$frac{1}{(x-2)(x-1)}+frac{1}{x(x-1)}+frac{1}{x(x+1)}+frac{1}{(x+1)(x+2)}=\=frac{x(x+1)(x+2)+(x-2)(x+1)(x+2)+(x+2)(x-1)(x-2)+x(x-1)(x-2)}{x( x^{2}-1)(x^{2}-4)}= \ =frac{x((x+1)(x+2)+(x-1)(x-2))+( x^{2} -4)( x^{2} -1)}{x( x^{2}-1)(x^{2}-4)} = \ = frac{x( x^{2} +3x+2+ x^{2} -3x+2)+( x^{2} -4)( x^{2} -1)}{x( x^{2}-1)(x^{2}-4)}= \ = frac{x(2 x^{2} +4)+( x^{2} -4)( x^{2} -1)}{x( x^{2}-1)(x^{2}-4)} = frac{2 x^{3}+4x+ x^{4 }-5 x^{2} +4 }{x( x^{2}-1)(x^{2}-4)} =$$= frac{ x^{4}+2 x^{3}-5 x^{2} +4x+4 }{x( x^{2}-1)(x^{2}-4)}$