\(x \cdot 0.954929658551372 - {\left(\sqrt[3]{0.12900613773279798} \cdot \sqrt[3]{x}\right)}^3 \cdot \left(x \cdot x\right)\)
- Started with
\[0.954929658551372 \cdot x - 0.12900613773279798 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]
0.4
- Applied simplify to get
\[\color{red}{0.954929658551372 \cdot x - 0.12900613773279798 \cdot \left(\left(x \cdot x\right) \cdot x\right)} \leadsto \color{blue}{x \cdot 0.954929658551372 - 0.12900613773279798 \cdot {x}^3}\]
0.4
- Using strategy
rm 0.4
- Applied cube-mult to get
\[x \cdot 0.954929658551372 - 0.12900613773279798 \cdot \color{red}{{x}^3} \leadsto x \cdot 0.954929658551372 - 0.12900613773279798 \cdot \color{blue}{\left(x \cdot \left(x \cdot x\right)\right)}\]
0.4
- Applied associate-*r* to get
\[x \cdot 0.954929658551372 - \color{red}{0.12900613773279798 \cdot \left(x \cdot \left(x \cdot x\right)\right)} \leadsto x \cdot 0.954929658551372 - \color{blue}{\left(0.12900613773279798 \cdot x\right) \cdot \left(x \cdot x\right)}\]
0.2
- Using strategy
rm 0.2
- Applied add-cube-cbrt to get
\[x \cdot 0.954929658551372 - \color{red}{\left(0.12900613773279798 \cdot x\right)} \cdot \left(x \cdot x\right) \leadsto x \cdot 0.954929658551372 - \color{blue}{{\left(\sqrt[3]{0.12900613773279798 \cdot x}\right)}^3} \cdot \left(x \cdot x\right)\]
0.3
- Using strategy
rm 0.3
- Applied cbrt-prod to get
\[x \cdot 0.954929658551372 - {\color{red}{\left(\sqrt[3]{0.12900613773279798 \cdot x}\right)}}^3 \cdot \left(x \cdot x\right) \leadsto x \cdot 0.954929658551372 - {\color{blue}{\left(\sqrt[3]{0.12900613773279798} \cdot \sqrt[3]{x}\right)}}^3 \cdot \left(x \cdot x\right)\]
0.3