\[\left( \frac{a^{\backslash a}}{c} + \frac{c^{\backslash c}}{a} + 2^{\backslash ac} \right) \cdot \frac{1}{a + c} =\]
\[= \frac{a^{2} + c^{2} + 2ac}{\text{ac}} \cdot \frac{1}{a + c} = \frac{(a + c)^{2}}{ac \cdot (a + c)} =\]
\[= \frac{a + c}{\text{ac}}.\]