Упростить: (4a-2a/(a+1))*(a+1)/(2a^2).

\[\left( 4a^{\backslash a + 1} - \frac{2a}{a + 1} \right) \cdot \frac{a + 1}{2a^{2}} =\]

\[= \frac{4a^{2} + 4a - 2a}{a + 1} \cdot \frac{a + 1}{2a^{2}} =\]

\[= \frac{4a^{2} + 2a}{a + 1} \cdot \frac{a + 1}{2a^{2}} =\]

\[= \frac{2a(2a + 1)(a + 1)}{(a + 1) \cdot 2a^{2}} = \frac{2a + 1}{a}.\]