Evaluate
\frac{10}{m^{2}-1}
Factor
\frac{10}{m^{2}-1}
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\frac{5\left(m+1\right)}{\left(m-1\right)\left(m+1\right)}-\frac{5\left(m-1\right)}{\left(m-1\right)\left(m+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of m-1 and m+1 is \left(m-1\right)\left(m+1\right). Multiply \frac{5}{m-1} times \frac{m+1}{m+1}. Multiply \frac{5}{m+1} times \frac{m-1}{m-1}.
\frac{5\left(m+1\right)-5\left(m-1\right)}{\left(m-1\right)\left(m+1\right)}
Since \frac{5\left(m+1\right)}{\left(m-1\right)\left(m+1\right)} and \frac{5\left(m-1\right)}{\left(m-1\right)\left(m+1\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{5m+5-5m+5}{\left(m-1\right)\left(m+1\right)}
Do the multiplications in 5\left(m+1\right)-5\left(m-1\right).
\frac{10}{\left(m-1\right)\left(m+1\right)}
Combine like terms in 5m+5-5m+5.
\frac{10}{m^{2}-1}
Expand \left(m-1\right)\left(m+1\right).
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