SOLUTION: 9x^2-4y^8

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Question 168155: 9x^2-4y^8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

9x%5E2-4y%5E8 Start with the given expression.


%283x%29%5E2-4y%5E8 Rewrite 9x%5E2 as %283x%29%5E2.


%283x%29%5E2-%282y%5E4%29%5E2 Rewrite 4y%5E8 as %282y%5E4%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:


%283x%2B2y%5E4%29%283x-2y%5E4%29 Factor the expression using the difference of squares.


So 9x%5E2-4y%5E8 factors to %283x%2B2y%5E4%29%283x-2y%5E4%29.


In other words 9x%5E2-4y%5E8=%283x%2B2y%5E4%29%283x-2y%5E4%29.