(b²-9a²)/4b²÷(9ab-3b²)/2b³
=-(9a²-b²)/4b²×2b³/(9ab-3b²)
=-(3a+b)(3a-b)/4b²×2b³/3b(3a-b)
=-(3a+b)(3a-b)/4b²×2b²/3(3a-b)
=-(3a+b)/6
(b²-9a²)/4b²÷(9ab-3b²)/2b³
=-(9a²-b²)/4b²×2b³/(9ab-3b²)
=-(3a+b)(3a-b)/4b²×2b³/3b(3a-b)
=-(3a+b)(3a-b)/4b²×2b²/3(3a-b)
=-(3a+b)/6