Упростите выражение a/(a+c)*((a+c)/c+(a+c)/a).

\[\frac{a}{a + c} \cdot \left( \frac{a + c^{\backslash a}}{c} + \frac{a + c^{\backslash c}}{a} \right) =\]

\[= \frac{a}{a + c} \cdot \frac{a^{2} + ac + ac + c^{2}}{\text{ac}} =\]

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