Question

упростите выражение

Answer 1

Ответ:

$\displaystyle x=2\frac{2}{3}=\frac{8}{3}\\\\\\\frac{1+2x}{x-3}-\frac{x^2+3x}{5}\cdot \frac{10}{x^2-9}=\frac{1+2x}{x-3}-\frac{x\, (x+3)\cdot 2}{(x-3)(x+3)}=\frac{1+2x}{x-3}-\frac{2x}{x-3}=\\\\\\=\frac{1+2x-2x}{x-3}=\frac{1}{x-3}=\frac{1}{\dfrac{8}{3}-3}=\frac{1}{-\dfrac{1}{3}}=-3$