Разложите на множители \({\frac{1}{243}a^5 + 0{,}00001.}\) \({\left(\frac{1}{3}a + \frac{1}{10} \right)\! \left( \frac{1}{81}a^4 - \frac{1}{270}a^3 + \frac{1}{900}a^2 - \frac{1}{3000}a + \frac{1}{10000}\right)}\) \(\left(\frac{1}{3}a - \frac{1}{10} \right)\! \left( \frac{1}{81}a^4 - \frac{1}{270}a^3 + \frac{1}{900}a^2 - \frac{1}{3000}a + \frac{1}{10000}\right)\) \(\left(\frac{1}{3}a + \frac{1}{10} \right)\! \left( \frac{1}{81}a^4 + \frac{1}{270}a^3 + \frac{1}{900}a^2 - \frac{1}{3000}a + \frac{1}{10000}\right)\) \(\left(\frac{1}{3}a + \frac{1}{10} \right)\! \left( \frac{1}{81}a^4 - \frac{1}{270}a^3- \frac{1}{900}a^2 - \frac{1}{3000}a

Задание

Разложите на множители
\({\frac{1}{243}a^5 + 0{,}00001.}\)

\({\left(\frac{1}{3}a + \frac{1}{10} \right)\! \left( \frac{1}{81}a^4 - \frac{1}{270}a^3 + \frac{1}{900}a^2 - \frac{1}{3000}a + \frac{1}{10000}\right)}\)
\(\left(\frac{1}{3}a - \frac{1}{10} \right)\! \left( \frac{1}{81}a^4 - \frac{1}{270}a^3 + \frac{1}{900}a^2 - \frac{1}{3000}a + \frac{1}{10000}\right)\)
\(\left(\frac{1}{3}a + \frac{1}{10} \right)\! \left( \frac{1}{81}a^4 + \frac{1}{270}a^3 + \frac{1}{900}a^2 - \frac{1}{3000}a + \frac{1}{10000}\right)\)
\(\left(\frac{1}{3}a + \frac{1}{10} \right)\! \left( \frac{1}{81}a^4 - \frac{1}{270}a^3- \frac{1}{900}a^2 - \frac{1}{3000}a - \frac{1}{10000}\right)\)