Solve m/m+1-1-m/m^2-1

$$\frac { m } { m + 1 } - \frac { 1 - m } { m ^ { 2 } - 1 }$$

Evaluate

$$1$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{1-m}{m^{2}-1}.

$$\frac{m}{m+1}-\frac{-m+1}{\left(m-1\right)\left(m+1\right)}$$

Extract the negative sign in 1-m.

$$\frac{m}{m+1}-\frac{-\left(m-1\right)}{\left(m-1\right)\left(m+1\right)}$$

Cancel out m-1 in both numerator and denominator.

$$\frac{m}{m+1}-\frac{-1}{m+1}$$

Since \frac{m}{m+1} and \frac{-1}{m+1} have the same denominator, subtract them by subtracting their numerators.

$$\frac{m-\left(-1\right)}{m+1}$$

Do the multiplications in m-\left(-1\right).

$$\frac{m+1}{m+1}$$

Cancel out m+1 in both numerator and denominator.

$$1$$

Factor

$$1$$