- Started with
\[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)\]
29.9
- Using strategy
rm 29.9
- Applied flip-- to get
\[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \color{red}{\left(a - x\right)} \leadsto x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \color{blue}{\frac{{a}^2 - {x}^2}{a + x}}\]
44.0
- Applied associate-*r/ to get
\[x + \color{red}{\frac{y - z}{\left(t + 1.0\right) - z} \cdot \frac{{a}^2 - {x}^2}{a + x}} \leadsto x + \color{blue}{\frac{\frac{y - z}{\left(t + 1.0\right) - z} \cdot \left({a}^2 - {x}^2\right)}{a + x}}\]
44.1
- Applied taylor to get
\[x + \frac{\frac{y - z}{\left(t + 1.0\right) - z} \cdot \left({a}^2 - {x}^2\right)}{a + x} \leadsto \left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}\]
13.1
- Taylor expanded around inf to get
\[\color{red}{\left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}} \leadsto \color{blue}{\left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}}\]
13.1
- Applied simplify to get
\[\left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z} \leadsto a + \left(\frac{y}{\frac{z}{x}} - \frac{y}{\frac{z}{a}}\right)\]
1.6
- Applied final simplification
- Applied simplify to get
\[\color{red}{a + \left(\frac{y}{\frac{z}{x}} - \frac{y}{\frac{z}{a}}\right)} \leadsto \color{blue}{\left(x - a\right) \cdot \frac{y}{z} + a}\]
1.1