Skip to main content\(\require{cancel}\newcommand{\abs}[1]{\left\lvert#1\right\rvert}
\newcommand{\point}[2]{\left(#1,#2\right)}
\newcommand{\highlight}[1]{\mathchoice{\colorbox{lightsapphire}{$\displaystyle #1$}}{\colorbox{lightsapphire}{$\textstyle #1$}}{\colorbox{lightsapphire}{$\scriptstyle #1$}}{\colorbox{lightsapphire}{$\scriptscriptstyle #1$}}}
\newcommand{\firsthighlight}[1]{\mathchoice{\colorbox{lightsapphire}{$\displaystyle #1$}}{\colorbox{lightsapphire}{$\textstyle #1$}}{\colorbox{lightsapphire}{$\scriptstyle #1$}}{\colorbox{lightsapphire}{$\scriptscriptstyle #1$}}}
\newcommand{\secondhighlight}[1]{\mathchoice{\colorbox{lightemerald}{$\displaystyle #1$}}{\colorbox{lightemerald}{$\textstyle #1$}}{\colorbox{lightemerald}{$\scriptstyle #1$}}{\colorbox{lightemerald}{$\scriptscriptstyle #1$}}}
\newcommand{\unhighlight}[1]{{\color{black}{{#1}}}}
\newcommand{\lowlight}[1]{{\color{lightgray}{#1}}}
\newcommand{\attention}[1]{\mathord{\overset{\downarrow}{#1}}}
\newcommand{\nextoperation}[1]{\mathord{\boxed{#1}}}
\newcommand{\substitute}[1]{{\color{blue}{{#1}}}}
\newcommand{\pinover}[2]{\overset{\overset{\mathrm{\ #2\ }}{|}}{\strut #1 \strut}}
\newcommand{\addright}[1]{{\highlight{{{}+#1}}}}
\newcommand{\addleft}[1]{{\highlight{{#1+{}}}}}
\newcommand{\subtractright}[1]{{\highlight{{{}-#1}}}}
\newcommand{\multiplyright}[2][\cdot]{{\highlight{{{}#1#2}}}}
\newcommand{\multiplyleft}[2][\cdot]{{\highlight{{#2#1{}}}}}
\newcommand{\divideunder}[2]{\frac{#1}{{\highlight{{#2}}}}}
\newcommand{\divideright}[1]{{\highlight{{{}\div#1}}}}
\newcommand{\negate}[1]{{\highlight{{-}}}\left(#1\right)}
\newcommand{\cancelhighlight}[1]{{\color{sapphire}{{\cancel{#1}}}}}
\newcommand{\secondcancelhighlight}[1]{{\color{emerald}{{\bcancel{#1}}}}}
\newcommand{\thirdcancelhighlight}[1]{\definecolor{amethyst}{RGB}{112,72,91}{\color{amethyst}{{\xcancel{#1}}}}}
\newcommand{\confirm}[1]{\stackrel{\checkmark}{#1}}
\newcommand{\reject}[1]{\stackrel{\text{no}}{#1}}
\newcommand{\wonder}[1]{\stackrel{\text{?}}{#1}}
\newcommand{\apple}{\text{🍎}}
\newcommand{\banana}{\text{🍌}}
\newcommand{\pear}{\text{🍐}}
\newcommand{\cat}{\text{🐱}}
\newcommand{\dog}{\text{🐶}}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\newcommand{\sfrac}[2]{{#1}/{#2}}
\)