SOLUTION: can you help solve thi with all steps (x^2-1)/(x+1) =x-1

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Question 465511: can you help solve thi with all steps
(x^2-1)/(x+1)
=x-1

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2-+1%29%2F%28x%2B1%29+=+x+-+1.
Notice that if x+%3C%3E+-1, then we can cancel terms from the left-side of the equation, to get
%28x%5E2-+1%29%2F%28x%2B1%29+=+%28%28x-1%29%28x%2B1%29%29%2F%28x%2B1%29+=+x+-+1,
which tells us that the equation is an IDENTITY as long as x+%3C%3E+-1.
Hence the solution set is the set of all real numbers except -1.