Initial program 12.1
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5\]
Simplified0.4
\[\leadsto \color{blue}{\left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right) - \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) \cdot \frac{\left(3 - 2 \cdot v\right) \cdot 0.125}{1 - v}}\]
- Using strategy
rm Applied associate-*l*0.3
\[\leadsto \left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right) - \color{blue}{\left(w \cdot r\right) \cdot \left(\left(w \cdot r\right) \cdot \frac{\left(3 - 2 \cdot v\right) \cdot 0.125}{1 - v}\right)}\]
Taylor expanded around inf 0.3
\[\leadsto \color{blue}{\left(2 \cdot \frac{1}{{r}^{2}} - 1.5\right)} - \left(w \cdot r\right) \cdot \left(\left(w \cdot r\right) \cdot \frac{\left(3 - 2 \cdot v\right) \cdot 0.125}{1 - v}\right)\]
Simplified0.3
\[\leadsto \color{blue}{\left(\frac{2}{r \cdot r} - 1.5\right)} - \left(w \cdot r\right) \cdot \left(\left(w \cdot r\right) \cdot \frac{\left(3 - 2 \cdot v\right) \cdot 0.125}{1 - v}\right)\]
- Using strategy
rm Applied associate-/r*0.3
\[\leadsto \left(\color{blue}{\frac{\frac{2}{r}}{r}} - 1.5\right) - \left(w \cdot r\right) \cdot \left(\left(w \cdot r\right) \cdot \frac{\left(3 - 2 \cdot v\right) \cdot 0.125}{1 - v}\right)\]
Final simplification0.3
\[\leadsto \left(\frac{\frac{2}{r}}{r} - 1.5\right) - \left(\left(w \cdot r\right) \cdot \frac{\left(3 - v \cdot 2\right) \cdot 0.125}{1 - v}\right) \cdot \left(w \cdot r\right)\]
