\[16 - \frac{1}{81}x^{4} = \left( 4 - \frac{1}{9}x^{2} \right)\left( 4 + \frac{1}{9}x^{2} \right) =\]
\[= \left( 2 - \frac{1}{3}x \right)\left( 2 + \frac{1}{3}x \right)\left( 4 + \frac{1}{9}x^{2} \right)\]