\(\left({\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}\right)}^3 - b \cdot \left(c \cdot z\right)\right) - \left(b \cdot \left(-i\right)\right) \cdot a\)
- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
5.6
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
5.6
- Using strategy
rm 5.6
- Applied sub-neg to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \color{red}{\left(c \cdot z - i \cdot a\right)} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \color{blue}{\left(c \cdot z + \left(-i \cdot a\right)\right)}\]
5.6
- Applied distribute-lft-in to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{red}{b \cdot \left(c \cdot z + \left(-i \cdot a\right)\right)} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{blue}{\left(b \cdot \left(c \cdot z\right) + b \cdot \left(-i \cdot a\right)\right)}\]
5.6
- Applied associate--r+ to get
\[\color{red}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \left(b \cdot \left(c \cdot z\right) + b \cdot \left(-i \cdot a\right)\right)} \leadsto \color{blue}{\left((\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z\right)\right) - b \cdot \left(-i \cdot a\right)}\]
5.6
- Using strategy
rm 5.6
- Applied distribute-lft-neg-in to get
\[\left((\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z\right)\right) - b \cdot \color{red}{\left(-i \cdot a\right)} \leadsto \left((\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z\right)\right) - b \cdot \color{blue}{\left(\left(-i\right) \cdot a\right)}\]
5.6
- Applied associate-*r* to get
\[\left((\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z\right)\right) - \color{red}{b \cdot \left(\left(-i\right) \cdot a\right)} \leadsto \left((\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z\right)\right) - \color{blue}{\left(b \cdot \left(-i\right)\right) \cdot a}\]
5.8
- Using strategy
rm 5.8
- Applied add-cube-cbrt to get
\[\left(\color{red}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*} - b \cdot \left(c \cdot z\right)\right) - \left(b \cdot \left(-i\right)\right) \cdot a \leadsto \left(\color{blue}{{\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}\right)}^3} - b \cdot \left(c \cdot z\right)\right) - \left(b \cdot \left(-i\right)\right) \cdot a\]
6.0
