Задание

Выполни действия

  1. \(\cfrac{x^2-y^2}{x}\cdot \left(\cfrac{1 ╰}{x-y}-\cfrac{1 ╰}{x+y}\right)=\cfrac{\left(x-y\right)\left(x+y\right)}{x}\cdot \cfrac{...}{\left(x-y\right)\left(x+y\right)}\) ;

  2. \(\cfrac{5}{3a-3b}:\left(\cfrac{1}{a+b}+\cfrac{1}{a-b}\right)\) ;

  3. \(\nobreak{\cfrac{a}{b}-\cfrac{a^2-b^2}{b^2}\cdot \cfrac{b}{a+b}}=\nobreak{\cfrac{a}{b}-\cfrac{...}{b^2\left(a+b\right)}}\) ;

  4. \(\cfrac{y}{x-y}:\left(\cfrac{x}{x-y}-\cfrac{x+y}{x}\right)\) ;

  5. \(\left(x+2+\cfrac{1}{x-2}\right):\cfrac{x^2}{4-4x+x^2}\) ;

  6. \(\left(\cfrac{m^2}{m+n}-\cfrac{m^3}{m^2+2mn+n^2}\right):\left(\cfrac{m^2}{n^2-m^2}+\cfrac{m}{m+n}\right)\) ;

  1. \(\cfrac{m^2}{m+n}-\cfrac{m^3}{m^2+2mn+n^2}\) ;
  2. \(\cfrac{m^2}{n^2-m^2}+\cfrac{m}{m+n}\) ;
  3. ...