Initial program 0.0
\[\frac{-\left(f + n\right)}{f - n}\]
Initial simplification0.0
\[\leadsto -\frac{n + f}{f - n}\]
- Using strategy
rm Applied clear-num0.0
\[\leadsto -\color{blue}{\frac{1}{\frac{f - n}{n + f}}}\]
- Using strategy
rm Applied div-sub0.0
\[\leadsto -\frac{1}{\color{blue}{\frac{f}{n + f} - \frac{n}{n + f}}}\]
- Using strategy
rm Applied flip--0.0
\[\leadsto -\frac{1}{\color{blue}{\frac{\frac{f}{n + f} \cdot \frac{f}{n + f} - \frac{n}{n + f} \cdot \frac{n}{n + f}}{\frac{f}{n + f} + \frac{n}{n + f}}}}\]
Applied associate-/r/0.0
\[\leadsto -\color{blue}{\frac{1}{\frac{f}{n + f} \cdot \frac{f}{n + f} - \frac{n}{n + f} \cdot \frac{n}{n + f}} \cdot \left(\frac{f}{n + f} + \frac{n}{n + f}\right)}\]
Final simplification0.0
\[\leadsto \left(\frac{n}{f + n} + \frac{f}{f + n}\right) \cdot \frac{-1}{\frac{f}{f + n} \cdot \frac{f}{f + n} - \frac{n}{f + n} \cdot \frac{n}{f + n}}\]
