Сократите дробь (4c²+7c-2)/(1-16c² ).

\[\frac{4c^{2} + 7c - 2}{1 - 16c^{2}} = \frac{4c^{2} + 8c - c - 2}{1 - 16c^{2}} =\]

\[= \frac{4c(c + 2) - (c + 2)}{1 - 16c^{2}} =\]

\[= \frac{(c + 2)(4c - 1)}{(1 - 4c)(1 + 4c)} = - \frac{c + 2}{1 + 4c}\]