SOLUTION: Factor the algebraic expression. x^5/7 - x^1/7

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Question 1107712: Factor the algebraic expression.
x^5/7 - x^1/7
Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Let , then ,

So now,

 becomes



Factor out u:



We factor u4-1 as the difference of two squares:



We factor u2-1 as the difference of two squares:



Now we replace all the u's by x1/7




Multiply exponents in the last parentheses:




Edwin
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Factor the algebraic expression.
x^5/7 - x^1/7
===================
= (x^5 - x)/x^7
= (x^4 - 1)/x^6
=

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