Выполните деление: (a^2-4b^2)/(9a^2-b^2)∶(a^2+4ab+4b^2)/(9a^2-6ab+b^2).

\[\frac{a^{2} - b^{2}}{9a^{2} - b^{2}}\ :\frac{a^{2} + 4ab + 4b^{2}}{9a^{2} - 6ab + b^{2}} =\]

\[= \frac{(a - 2b)(3a - b)}{(3a + b)(a + 2b)}\]