SOLUTION: Simplify by removing factors of 1 n^2-1/(n+1)^2

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Question 332064: Simplify by removing factors of 1
n^2-1/(n+1)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28n%5E2-1%29%2F%28n%2B1%29%5E2 Start with the given expression.


%28%28n%2B1%29%28n-1%29%29%2F%28n%2B1%29%5E2 Factor the numerator.


%28%28n%2B1%29%28n-1%29%29%2F%28%28n%2B1%29%28n%2B1%29%29 Expand the denominator.


%28highlight%28%28n%2B1%29%29%28n-1%29%29%2F%28highlight%28%28n%2B1%29%29%28n%2B1%29%29 Highlight the common terms.


%28cross%28%28n%2B1%29%29%28n-1%29%29%2F%28cross%28%28n%2B1%29%29%28n%2B1%29%29 Cancel out the common terms.


%28n-1%29%2F%28n%2B1%29 Simplify


So %28n%5E2-1%29%2F%28n%2B1%29%5E2 simplifies to %28n-1%29%2F%28n%2B1%29


In other words, %28n%5E2-1%29%2F%28n%2B1%29%5E2=%28n-1%29%2F%28n%2B1%29 where n%3C%3E-1