- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
10.0
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
10.0
- Using strategy
rm 10.0
- Applied flip-- to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\color{red}{\left(y \cdot z - t \cdot a\right)} \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\color{blue}{\frac{{\left(y \cdot z\right)}^2 - {\left(t \cdot a\right)}^2}{y \cdot z + t \cdot a}} \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)\]
22.3
- Applied associate-*l/ to get
\[(\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(\frac{{\left(y \cdot z\right)}^2 - {\left(t \cdot a\right)}^2}{y \cdot z + t \cdot a} \cdot x\right)})_* - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto (\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left(\frac{\left({\left(y \cdot z\right)}^2 - {\left(t \cdot a\right)}^2\right) \cdot x}{y \cdot z + t \cdot a}\right)})_* - b \cdot \left(c \cdot z - i \cdot a\right)\]
24.9
- Using strategy
rm 24.9
- Applied clear-num to get
\[(\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(\frac{\left({\left(y \cdot z\right)}^2 - {\left(t \cdot a\right)}^2\right) \cdot x}{y \cdot z + t \cdot a}\right)})_* - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto (\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left(\frac{1}{\frac{y \cdot z + t \cdot a}{\left({\left(y \cdot z\right)}^2 - {\left(t \cdot a\right)}^2\right) \cdot x}}\right)})_* - b \cdot \left(c \cdot z - i \cdot a\right)\]
24.9
- Applied simplify to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\frac{1}{\color{red}{\frac{y \cdot z + t \cdot a}{\left({\left(y \cdot z\right)}^2 - {\left(t \cdot a\right)}^2\right) \cdot x}}}\right))_* - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\frac{1}{\color{blue}{\frac{\frac{1}{x}}{z \cdot y - a \cdot t}}}\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)\]
10.1