Выполните действия: 2b/(2b+c)-4b^2/(4b^2+4bc+c^2).

Ответ:

\[\frac{2b}{2b + c} - \frac{4b^{2}}{4b^{2} + 4bc + c^{2}} =\]

\[= \frac{2b^{\backslash 2b + c}}{2b + c} - \frac{4b^{2}}{(2b + c)^{2}} =\]

\[= \frac{4b^{2} + 2bc - 4b^{2}}{(2b + c)^{2}} = \frac{2bc}{(2b + c)^{2}}.\]