SOLUTION: Factor: 64-9u^2

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Question 316978: Factor:
64-9u^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

64-9u%5E2 Start with the given expression.


%288%29%5E2-9u%5E2 Rewrite 64 as %288%29%5E2.


%288%29%5E2-%283u%29%5E2 Rewrite 9u%5E2 as %283u%29%5E2.


Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=8 and B=3u.


So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:


A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.


%288%29%5E2-%283u%29%5E2=%288%2B3u%29%288-3u%29 Plug in A=8 and B=3u.


So this shows us that 64-9u%5E2 factors to %288%2B3u%29%288-3u%29.


In other words 64-9u%5E2=%288%2B3u%29%288-3u%29.