SOLUTION: Factor Completly: 9x^4-25x^2

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Question 200145: Factor Completly: 9x^4-25x^2
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Factor out the GCF


Now let's focus on the inner expression

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Start with the given expression.


Rewrite as .


Rewrite as .


Notice how we have a difference of squares where in this case and .


So let's use the difference of squares formula to factor the expression:


Start with the difference of squares formula.


Plug in and .


So this shows us that factors to .


In other words .


This means that factors further to
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Answer:


So completely factors to


In other words,

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