Упростите выражение (2a/b^2-1/2a):(1/b+1/2a).

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

\[= \frac{4a^{2} - b^{2}}{2ab^{2}}\ :\frac{2a + b}{2ab} =\]

\[= \frac{(2a - b)(2a + b) \cdot 2ab}{2ab²(2a + b)} = \frac{2a - b}{b}\]