\[- 30by^{2} - 6b^{2} = - 6b(5y^{2} + b)\ \]
\[Проверка:\ \]
\[- 6b\left( 5y^{2} + b \right) = - 30by^{2} - 6b^{2}\]
\[- 30by^{2} - 6b^{2} = - 30by^{2} - 6b^{2}\]
\[\Longrightarrow верно.\]