SOLUTION: 3. Would you be able to help me FACTOR this? 25x^2 - 36

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Question 156109: 3. Would you be able to help me FACTOR this?
25x^2 - 36
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

25x%5E2-36 Start with the given expression.


%285x%29%5E2-36 Rewrite 25x%5E2 as %285x%29%5E2.


%285x%29%5E2-%286%29%5E2 Rewrite 36 as %286%29%5E2.


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


%285x%2B6%29%285x-6%29 Factor the expression using the difference of squares.


So 25x%5E2-36 factors to %285x%2B6%29%285x-6%29.


In other words 25x%5E2-36=%285x%2B6%29%285x-6%29.