Question

Упростите выражение срочноо!!!

Answer 1

$frac{x-4}{x^3-x}:Big (frac{x-1}{2x^2+3x+1}-frac{1}{x^2-1}Big )=\\=frac{x-4}{x(x^2-1)}:Big (frac{x-1}{2(x+1)(x+frac{1}{2})}-frac{1}{(x-1)(x+1)}Big )=\\=frac{x-4}{x(x-1)(x+1)}:frac{(x-1)^2-2(x+frac{1}{2})}{2(x+1)(x+frac{1}{2})(x-1)}=\\=frac{x-4}{x(x-1)(x+1)}cdot frac{2(x+1)(x+frac{1}{2})(x-1)}{x^2-4x}=\\=frac{x-4}{x(x-1)(x+1)}cdot frac{(x-1)(x+1)(2x+1)}{x(x-4)}=frac{2x+1}{x^2}\\\star ; ; 2x^2+3x+1=0; ,; ; D=1; ,; ; x_{1,2}=frac{-3pm 1}{4}; ,\\x_1=-1,; x_2=-frac{1}{2}\\2x^2+3x+1=2(x+1)(x+frac{1}{2})$

Answer 2

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