Сократите дробь: (c+14√c+49)/(c-49).

\[\frac{c + 14\sqrt{c} + 49}{c - 49} = \frac{\left( \sqrt{c} + 7 \right)^{2}}{\left( \sqrt{c} - 7 \right)\left( \sqrt{c} + 7 \right)} =\]

\[= \frac{\sqrt{c} + 7}{\sqrt{c} - 7}\]