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In Mathematics / Middle School | 2014-06-07

Simplify \(\left(\frac{1}{x+1}\right) + \left(\frac{1}{x-1}\right)\).

Is it \(\frac{2}{x^2 - 1}\)?

Asked by Berfin

Answer (2)

Relax. Do you see that plus " + " sign in the middle ? That means there's no multiplication involved, only addition and combining like terms. You can just erase all the parentheses and add everything up. I think you end up with just 2/x .

Answered by AL2006 | 2024-06-10

The expression ( x + 1 1 ​ ) + ( x − 1 1 ​ ) simplifies to x 2 − 1 2 x ​ . It involves finding a common denominator, which is x 2 − 1 , and then combining the fractions. Therefore, the original suggestion was incorrect.
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Answered by AL2006 | 2025-04-05