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