Упростить: (4x/(x+2)+2x)*(x+2)/(4x^2).

Ответ:

\[\left( \frac{4x}{x + 2} + 2x^{\backslash x + 2} \right) \cdot \frac{x + 2}{4x^{2}} =\]

\[= \frac{4x + 2x^{2} + 4x}{x + 2} \cdot \frac{x + 2}{4x^{2}} =\]

\[= \frac{2x^{2} + 8x}{x + 2} \cdot \frac{x + 2}{4x^{2}} =\]

\[= \frac{2x(x + 4)(x + 2)}{(x + 2) \cdot 4x^{2}} = \frac{x + 4}{2x}.\]