Initial program 14.2
\[\left(\frac{\pi}{2} \cdot \frac{1}{b \cdot b - a \cdot a}\right) \cdot \left(\frac{1}{a} - \frac{1}{b}\right)\]
Applied simplify9.7
\[\leadsto \color{blue}{\frac{\frac{\pi}{\left(b + a\right) \cdot \left(b - a\right)}}{\frac{2}{\frac{1}{a} - \frac{1}{b}}}}\]
- Using strategy
rm Applied frac-sub9.7
\[\leadsto \frac{\frac{\pi}{\left(b + a\right) \cdot \left(b - a\right)}}{\frac{2}{\color{blue}{\frac{1 \cdot b - a \cdot 1}{a \cdot b}}}}\]
Applied associate-/r/9.7
\[\leadsto \frac{\frac{\pi}{\left(b + a\right) \cdot \left(b - a\right)}}{\color{blue}{\frac{2}{1 \cdot b - a \cdot 1} \cdot \left(a \cdot b\right)}}\]
Applied associate-/r*9.7
\[\leadsto \color{blue}{\frac{\frac{\frac{\pi}{\left(b + a\right) \cdot \left(b - a\right)}}{\frac{2}{1 \cdot b - a \cdot 1}}}{a \cdot b}}\]
Applied simplify0.2
\[\leadsto \frac{\color{blue}{\frac{\frac{\pi}{2}}{b + a}}}{a \cdot b}\]
- Using strategy
rm Applied *-un-lft-identity0.2
\[\leadsto \frac{\frac{\frac{\pi}{2}}{\color{blue}{1 \cdot \left(b + a\right)}}}{a \cdot b}\]
Applied div-inv0.2
\[\leadsto \frac{\frac{\color{blue}{\pi \cdot \frac{1}{2}}}{1 \cdot \left(b + a\right)}}{a \cdot b}\]
Applied times-frac0.3
\[\leadsto \frac{\color{blue}{\frac{\pi}{1} \cdot \frac{\frac{1}{2}}{b + a}}}{a \cdot b}\]
