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\frac{n-1}{n+1}-\frac{n+1}{n+1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{n+1}{n+1}.
\frac{n-1-\left(n+1\right)}{n+1}
Since \frac{n-1}{n+1} and \frac{n+1}{n+1} have the same denominator, subtract them by subtracting their numerators.
\frac{n-1-n-1}{n+1}
Do the multiplications in n-1-\left(n+1\right).
\frac{-2}{n+1}
Combine like terms in n-1-n-1.
\frac{n-1}{n+1}-\frac{n+1}{n+1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{n+1}{n+1}.
\frac{n-1-\left(n+1\right)}{n+1}
Since \frac{n-1}{n+1} and \frac{n+1}{n+1} have the same denominator, subtract them by subtracting their numerators.
\frac{n-1-n-1}{n+1}
Do the multiplications in n-1-\left(n+1\right).
\frac{-2}{n+1}
Combine like terms in n-1-n-1.