Initial program 1.0
\[\frac{4}{\left(\left(3 \cdot \pi\right) \cdot \left(1 - v \cdot v\right)\right) \cdot \sqrt{2 - 6 \cdot \left(v \cdot v\right)}}\]
Simplified0.0
\[\leadsto \color{blue}{\frac{\frac{\frac{4}{3}}{\pi - \left(v \cdot v\right) \cdot \pi}}{\sqrt{2 + \left(v \cdot -6\right) \cdot v}}}\]
- Using strategy
rm Applied *-un-lft-identity0.0
\[\leadsto \frac{\frac{\frac{4}{3}}{\color{blue}{1 \cdot \pi} - \left(v \cdot v\right) \cdot \pi}}{\sqrt{2 + \left(v \cdot -6\right) \cdot v}}\]
Applied distribute-rgt-out--0.0
\[\leadsto \frac{\frac{\frac{4}{3}}{\color{blue}{\pi \cdot \left(1 - v \cdot v\right)}}}{\sqrt{2 + \left(v \cdot -6\right) \cdot v}}\]
Applied associate-/r*0.0
\[\leadsto \frac{\color{blue}{\frac{\frac{\frac{4}{3}}{\pi}}{1 - v \cdot v}}}{\sqrt{2 + \left(v \cdot -6\right) \cdot v}}\]
Final simplification0.0
\[\leadsto \frac{\frac{\frac{\frac{4}{3}}{\pi}}{1 - v \cdot v}}{\sqrt{2 + v \cdot \left(v \cdot -6\right)}}\]