How do you factor $n - n^{5}$ $n - n^5$ ?

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How do you factor $n - n^{5}$ $n - n^5$ ?

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Answer 1 · 2016-03-19T18:08:19

We have that

$n - n^{5} = n \cdot (1 - {(n^{2})}^{2}) = n \cdot (1 - n^{2}) \cdot (1 + n^{2}) = n \cdot (1 - n) \cdot (1 + n) \cdot (1 + n^{2})$ $n-n^5=n*(1-(n^2)^2)=n*(1-n^2)*(1+n^2)=n*(1-n)*(1+n)*(1+n^2)$

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How do you factor $n - n^{5}$ $n - n^5$ ?

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How do you factor $n - n^{5}$ $n - n^5$ ?