SOLUTION: 25v^2-9

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Question 183246: 25v^2-9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that you want to factor this.




25v%5E2-9 Start with the given expression.


%285v%29%5E2-9 Rewrite 25v%5E2 as %285v%29%5E2.


%285v%29%5E2-%283%29%5E2 Rewrite 9 as %283%29%5E2.


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


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.


%285v%29%5E2-%283%29%5E2=%285v%2B3%29%285v-3%29 Plug in A=5v and B=3.


So this shows us that 25v%5E2-9 factors to %285v%2B3%29%285v-3%29.


In other words 25v%5E2-9=%285v%2B3%29%285v-3%29.