Разложите на множители выражение 1/24m^8n^4 - 9/16a^2b^8.

\( \frac{1}{24}m^8n^4 - \frac{9}{16}a^2b^8 = \frac{1}{24}(m^4n^2)^2 - \frac{9}{16}(ab^4)^2 = \left(\frac{m^4n^2}{\sqrt{24}} - \frac{3ab^4}{4}\right)\left(\frac{m^4n^2}{\sqrt{24}} + \frac{3ab^4}{4}\right). \)