\(\frac{\sqrt[3]{{\left(\frac{(\beta * \alpha + \beta)_* + \left(\alpha + 1.0\right)}{2 + \left(\beta + \alpha\right)}\right)}^3}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \left(\alpha + \left(2 + \beta\right)\right)}\)
- Started with
\[\frac{\frac{\frac{\left(\left(\alpha + \beta\right) + \beta \cdot \alpha\right) + 1.0}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\left(\alpha + \beta\right) + 2 \cdot 1\right) + 1.0}\]
3.6
- Applied simplify to get
\[\color{red}{\frac{\frac{\frac{\left(\left(\alpha + \beta\right) + \beta \cdot \alpha\right) + 1.0}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\alpha + \beta\right) + 2 \cdot 1}}{\left(\left(\alpha + \beta\right) + 2 \cdot 1\right) + 1.0}} \leadsto \color{blue}{\frac{\frac{\left(\alpha + 1.0\right) + (\beta * \alpha + \beta)_*}{\alpha + \left(2 + \beta\right)}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \left(\alpha + \left(2 + \beta\right)\right)}}\]
4.5
- Using strategy
rm 4.5
- Applied add-cbrt-cube to get
\[\frac{\frac{\left(\alpha + 1.0\right) + (\beta * \alpha + \beta)_*}{\color{red}{\alpha + \left(2 + \beta\right)}}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \left(\alpha + \left(2 + \beta\right)\right)} \leadsto \frac{\frac{\left(\alpha + 1.0\right) + (\beta * \alpha + \beta)_*}{\color{blue}{\sqrt[3]{{\left(\alpha + \left(2 + \beta\right)\right)}^3}}}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \left(\alpha + \left(2 + \beta\right)\right)}\]
9.9
- Applied add-cbrt-cube to get
\[\frac{\frac{\color{red}{\left(\alpha + 1.0\right) + (\beta * \alpha + \beta)_*}}{\sqrt[3]{{\left(\alpha + \left(2 + \beta\right)\right)}^3}}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \left(\alpha + \left(2 + \beta\right)\right)} \leadsto \frac{\frac{\color{blue}{\sqrt[3]{{\left(\left(\alpha + 1.0\right) + (\beta * \alpha + \beta)_*\right)}^3}}}{\sqrt[3]{{\left(\alpha + \left(2 + \beta\right)\right)}^3}}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \left(\alpha + \left(2 + \beta\right)\right)}\]
25.9
- Applied cbrt-undiv to get
\[\frac{\color{red}{\frac{\sqrt[3]{{\left(\left(\alpha + 1.0\right) + (\beta * \alpha + \beta)_*\right)}^3}}{\sqrt[3]{{\left(\alpha + \left(2 + \beta\right)\right)}^3}}}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \left(\alpha + \left(2 + \beta\right)\right)} \leadsto \frac{\color{blue}{\sqrt[3]{\frac{{\left(\left(\alpha + 1.0\right) + (\beta * \alpha + \beta)_*\right)}^3}{{\left(\alpha + \left(2 + \beta\right)\right)}^3}}}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \left(\alpha + \left(2 + \beta\right)\right)}\]
25.9
- Applied simplify to get
\[\frac{\sqrt[3]{\color{red}{\frac{{\left(\left(\alpha + 1.0\right) + (\beta * \alpha + \beta)_*\right)}^3}{{\left(\alpha + \left(2 + \beta\right)\right)}^3}}}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \left(\alpha + \left(2 + \beta\right)\right)} \leadsto \frac{\sqrt[3]{\color{blue}{{\left(\frac{(\beta * \alpha + \beta)_* + \left(\alpha + 1.0\right)}{2 + \left(\beta + \alpha\right)}\right)}^3}}}{\left(\left(\alpha + 1.0\right) + \left(2 + \beta\right)\right) \cdot \left(\alpha + \left(2 + \beta\right)\right)}\]
4.7