Initial program 14.2
\[\left(\frac{\pi}{2} \cdot \frac{1}{b \cdot b - a \cdot a}\right) \cdot \left(\frac{1}{a} - \frac{1}{b}\right)\]
Initial simplification8.6
\[\leadsto \frac{\frac{\frac{\pi}{a + b}}{b - a}}{\frac{2}{\frac{1}{a} - \frac{1}{b}}}\]
- Using strategy
rm Applied div-inv8.6
\[\leadsto \frac{\frac{\frac{\pi}{a + b}}{b - a}}{\color{blue}{2 \cdot \frac{1}{\frac{1}{a} - \frac{1}{b}}}}\]
Applied *-un-lft-identity8.6
\[\leadsto \frac{\frac{\frac{\pi}{a + b}}{\color{blue}{1 \cdot \left(b - a\right)}}}{2 \cdot \frac{1}{\frac{1}{a} - \frac{1}{b}}}\]
Applied *-un-lft-identity8.6
\[\leadsto \frac{\frac{\color{blue}{1 \cdot \frac{\pi}{a + b}}}{1 \cdot \left(b - a\right)}}{2 \cdot \frac{1}{\frac{1}{a} - \frac{1}{b}}}\]
Applied times-frac8.6
\[\leadsto \frac{\color{blue}{\frac{1}{1} \cdot \frac{\frac{\pi}{a + b}}{b - a}}}{2 \cdot \frac{1}{\frac{1}{a} - \frac{1}{b}}}\]
Applied times-frac8.6
\[\leadsto \color{blue}{\frac{\frac{1}{1}}{2} \cdot \frac{\frac{\frac{\pi}{a + b}}{b - a}}{\frac{1}{\frac{1}{a} - \frac{1}{b}}}}\]
Simplified8.6
\[\leadsto \color{blue}{\frac{1}{2}} \cdot \frac{\frac{\frac{\pi}{a + b}}{b - a}}{\frac{1}{\frac{1}{a} - \frac{1}{b}}}\]
Simplified0.3
\[\leadsto \frac{1}{2} \cdot \color{blue}{\frac{\frac{\pi}{a + b}}{\frac{b - a}{\frac{1}{a} - \frac{1}{b}}}}\]
Final simplification0.3
\[\leadsto \frac{1}{2} \cdot \frac{\frac{\pi}{b + a}}{\frac{b - a}{\frac{1}{a} - \frac{1}{b}}}\]
