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Factor \(9u^2 + 16v^2 - 4w^2 - 24uv\).

\(\begin{array}{|rcll|} \hline && \mathbf{9u^2 + 16v^2 - 4w^2 - 24uv} \\ &=& 9u^2 - 24uv + 16v^2 - 4w^2 \\ &=& (9u^2 - 24uv + 16v^2) - 4w^2 \\ &=& (3u-4v)^2 - 4w^2 \\ &=& \Big( (3u-4v) - 2w \Big)\Big( (3u-4v) + 2w \Big) \\ &=& \mathbf{(3u-4v- 2w)(3u-4v + 2w)} \\ \hline \end{array}\)