SOLUTION: v^2-36u^2

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Question 636249: v^2-36u^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

v%5E2-36u%5E2 Start with the given expression.


%28v%29%5E2-36u%5E2 Rewrite v%5E2 as %28v%29%5E2.


%28v%29%5E2-%286u%29%5E2 Rewrite 36u%5E2 as %286u%29%5E2.


Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=v and B=6u.


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.


%28v%29%5E2-%286u%29%5E2=%28v%2B6u%29%28v-6u%29 Plug in A=v and B=6u.


So this shows us that v%5E2-36u%5E2 factors to %28v%2B6u%29%28v-6u%29.


In other words v%5E2-36u%5E2=%28v%2B6u%29%28v-6u%29.