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\frac{a+1-\left(a-1\right)}{b}
Since \frac{a+1}{b} and \frac{a-1}{b} have the same denominator, subtract them by subtracting their numerators.
\frac{a+1-a+1}{b}
Do the multiplications in a+1-\left(a-1\right).
\frac{2}{b}
Combine like terms in a+1-a+1.
\frac{a+1-\left(a-1\right)}{b}
Since \frac{a+1}{b} and \frac{a-1}{b} have the same denominator, subtract them by subtracting their numerators.
\frac{a+1-a+1}{b}
Do the multiplications in a+1-\left(a-1\right).
\frac{2}{b}
Combine like terms in a+1-a+1.