\[- 20c^{2} + 80bc =\]
\[= - 20c\left( c^{2 - 1} - \frac{80}{20}b \right) =\]
\[= - 20c(c - 4b)\]
\[Проверка:\ \]
\[- 20c(c - 4b) = - 20c^{1 + 1} + 80bc\ \]
\[- 20c^{2} + 80bc = - 20c^{2} + 80bc\]
\[верно.\]