Factor (n^2014-1)/((n-1)^2)

Math
n2014-1(n-1)2
Rewrite n2014 as (n1007)2.
(n1007)2-1(n-1)2
Rewrite 1 as 12.
(n1007)2-12(n-1)2
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=n1007 and b=1.
(n1007+1)(n1007-1)(n-1)2
Factor (n^2014-1)/((n-1)^2)

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