Initial program 60.7
\[\frac{-\left(f + n\right)}{f - n}\]
Initial simplification60.7
\[\leadsto -\frac{n + f}{f - n}\]
- Using strategy
rm Applied add-cube-cbrt60.7
\[\leadsto -\frac{\color{blue}{\left(\sqrt[3]{n + f} \cdot \sqrt[3]{n + f}\right) \cdot \sqrt[3]{n + f}}}{f - n}\]
Applied associate-/l*60.7
\[\leadsto -\color{blue}{\frac{\sqrt[3]{n + f} \cdot \sqrt[3]{n + f}}{\frac{f - n}{\sqrt[3]{n + f}}}}\]
- Using strategy
rm Applied add-log-exp53.8
\[\leadsto -\frac{\sqrt[3]{n + f} \cdot \color{blue}{\log \left(e^{\sqrt[3]{n + f}}\right)}}{\frac{f - n}{\sqrt[3]{n + f}}}\]
- Using strategy
rm Applied add-cube-cbrt53.8
\[\leadsto -\frac{\sqrt[3]{n + f} \cdot \log \left(e^{\color{blue}{\left(\sqrt[3]{\sqrt[3]{n + f}} \cdot \sqrt[3]{\sqrt[3]{n + f}}\right) \cdot \sqrt[3]{\sqrt[3]{n + f}}}}\right)}{\frac{f - n}{\sqrt[3]{n + f}}}\]
Applied exp-prod53.8
\[\leadsto -\frac{\sqrt[3]{n + f} \cdot \log \color{blue}{\left({\left(e^{\sqrt[3]{\sqrt[3]{n + f}} \cdot \sqrt[3]{\sqrt[3]{n + f}}}\right)}^{\left(\sqrt[3]{\sqrt[3]{n + f}}\right)}\right)}}{\frac{f - n}{\sqrt[3]{n + f}}}\]
Applied log-pow53.7
\[\leadsto -\frac{\sqrt[3]{n + f} \cdot \color{blue}{\left(\sqrt[3]{\sqrt[3]{n + f}} \cdot \log \left(e^{\sqrt[3]{\sqrt[3]{n + f}} \cdot \sqrt[3]{\sqrt[3]{n + f}}}\right)\right)}}{\frac{f - n}{\sqrt[3]{n + f}}}\]
- Using strategy
rm Applied add-cube-cbrt53.7
\[\leadsto -\frac{\sqrt[3]{n + f} \cdot \left(\sqrt[3]{\sqrt[3]{n + f}} \cdot \log \left(e^{\sqrt[3]{\sqrt[3]{n + f}} \cdot \sqrt[3]{\sqrt[3]{n + f}}}\right)\right)}{\frac{f - n}{\color{blue}{\left(\sqrt[3]{\sqrt[3]{n + f}} \cdot \sqrt[3]{\sqrt[3]{n + f}}\right) \cdot \sqrt[3]{\sqrt[3]{n + f}}}}}\]
Final simplification53.7
\[\leadsto \frac{\sqrt[3]{f + n} \cdot \left(\log \left(e^{\sqrt[3]{\sqrt[3]{f + n}} \cdot \sqrt[3]{\sqrt[3]{f + n}}}\right) \cdot \left(-\sqrt[3]{\sqrt[3]{f + n}}\right)\right)}{\frac{f - n}{\sqrt[3]{\sqrt[3]{f + n}} \cdot \left(\sqrt[3]{\sqrt[3]{f + n}} \cdot \sqrt[3]{\sqrt[3]{f + n}}\right)}}\]
