SOLUTION: Factor the binomial x^6-y^16

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Question 190661: Factor the binomial
x^6-y^16
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

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 .
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