Ok, this is the one that I really need help on. I have tried this several different ways and am not getting the book answer. What is a good strategy for these? Try to factor first? Go ahead and multiply every thing together?

Any help is appreciated!

$\displaystyle \frac{9x^2 - 4}{3x^2 - 5x + 2} \cdot \frac{9x^4 - 6x^3 + 4x^2}{27x^4 + 8x}$