Initial program 12.4
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5\]
Simplified0.4
\[\leadsto \color{blue}{\left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right) - \frac{0.125}{\frac{\frac{1 - v}{3 - 2 \cdot v}}{\left(w \cdot r\right) \cdot \left(w \cdot r\right)}}}\]
- Using strategy
rm Applied associate-/r*0.4
\[\leadsto \left(\left(3 + \color{blue}{\frac{\frac{2}{r}}{r}}\right) - 4.5\right) - \frac{0.125}{\frac{\frac{1 - v}{3 - 2 \cdot v}}{\left(w \cdot r\right) \cdot \left(w \cdot r\right)}}\]
- Using strategy
rm Applied div-inv0.4
\[\leadsto \left(\left(3 + \frac{\frac{2}{r}}{r}\right) - 4.5\right) - \frac{0.125}{\color{blue}{\frac{1 - v}{3 - 2 \cdot v} \cdot \frac{1}{\left(w \cdot r\right) \cdot \left(w \cdot r\right)}}}\]
Applied *-un-lft-identity0.4
\[\leadsto \left(\left(3 + \frac{\frac{2}{r}}{r}\right) - 4.5\right) - \frac{\color{blue}{1 \cdot 0.125}}{\frac{1 - v}{3 - 2 \cdot v} \cdot \frac{1}{\left(w \cdot r\right) \cdot \left(w \cdot r\right)}}\]
Applied times-frac0.4
\[\leadsto \left(\left(3 + \frac{\frac{2}{r}}{r}\right) - 4.5\right) - \color{blue}{\frac{1}{\frac{1 - v}{3 - 2 \cdot v}} \cdot \frac{0.125}{\frac{1}{\left(w \cdot r\right) \cdot \left(w \cdot r\right)}}}\]
Simplified0.4
\[\leadsto \left(\left(3 + \frac{\frac{2}{r}}{r}\right) - 4.5\right) - \color{blue}{\frac{v \cdot -2 + 3}{1 - v}} \cdot \frac{0.125}{\frac{1}{\left(w \cdot r\right) \cdot \left(w \cdot r\right)}}\]
Simplified0.3
\[\leadsto \left(\left(3 + \frac{\frac{2}{r}}{r}\right) - 4.5\right) - \frac{v \cdot -2 + 3}{1 - v} \cdot \color{blue}{\left(\left(\left(w \cdot r\right) \cdot 0.125\right) \cdot \left(w \cdot r\right)\right)}\]
Final simplification0.3
\[\leadsto \left(\left(3 + \frac{\frac{2}{r}}{r}\right) - 4.5\right) - \frac{3 + -2 \cdot v}{1 - v} \cdot \left(\left(w \cdot r\right) \cdot \left(\left(w \cdot r\right) \cdot 0.125\right)\right)\]
