+0  
 
-1
66
1
avatar

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

 Jun 5, 2020
 #1
avatar+25541 
+3

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

 

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

 

laugh

 Jun 5, 2020

42 Online Users

avatar
avatar