Initial program 0.0
\[\frac{-\left(f + n\right)}{f - n}\]
- Using strategy
rm
Applied add-cbrt-cube 41.1
\[\leadsto \frac{-\left(f + n\right)}{\color{blue}{\sqrt[3]{{\left(f - n\right)}^3}}}\]
Applied add-cbrt-cube 41.3
\[\leadsto \frac{\color{blue}{\sqrt[3]{{\left(-\left(f + n\right)\right)}^3}}}{\sqrt[3]{{\left(f - n\right)}^3}}\]
Applied cbrt-undiv 41.3
\[\leadsto \color{blue}{\sqrt[3]{\frac{{\left(-\left(f + n\right)\right)}^3}{{\left(f - n\right)}^3}}}\]
Applied simplify 0.0
\[\leadsto \sqrt[3]{\color{blue}{{\left(\frac{-\left(n + f\right)}{f - n}\right)}^3}}\]
- Using strategy
rm
Applied cube-mult 0.0
\[\leadsto \sqrt[3]{\color{blue}{\frac{-\left(n + f\right)}{f - n} \cdot \left(\frac{-\left(n + f\right)}{f - n} \cdot \frac{-\left(n + f\right)}{f - n}\right)}}\]
Applied cbrt-prod 0.0
\[\leadsto \color{blue}{\sqrt[3]{\frac{-\left(n + f\right)}{f - n}} \cdot \sqrt[3]{\frac{-\left(n + f\right)}{f - n} \cdot \frac{-\left(n + f\right)}{f - n}}}\]
Applied simplify 0.0
\[\leadsto \sqrt[3]{\frac{-\left(n + f\right)}{f - n}} \cdot \color{blue}{\sqrt[3]{{\left(\frac{f + n}{f - n}\right)}^2}}\]
- Removed slow pow expressions