编写欧几里得除法

Question

我想写这个除法，但我的代码不起作用

这是我的代码

\documentclass{article}
\usepackage{graphicx} % Required for inserting images

\title{division}
\author{othnielnzue23 }
\date{October 2023}

\begin{document}

\begin{equation*} 
\renewcommand{\arraystretch}{1.2} 
\renewcommand{\arraycolsep}{2pt} 
  \begin{array}{rrrr|rrrr} 
 x&-\dfrac{1}{6}x^3&+\dfrac{1}{120}x^5&   &1  &-\dfrac{1}{2}x^2 &+\dfrac{1}{24}x^4&  \\ 
\cline{5-7} 
-(x&-\dfrac{x^3}{2}&+\dfrac{x^5}{24}) &   &  &x&+\dfrac{1}{3}x^3&+\dfrac{2}{15}x^5\\ 
\cline{1-2} 
    &2x^2 &   &  &   &   &  \\ 
    &-2x^2&+2x&  &   &   &  \\ 
    \cline{2-3} 
    &     &2x &  &   &   &  \\ 
    &     &-2x&+2&   &   &  \\ 
              \cline{3-4} 
    &     &   &+1&   &   &  \\ 
  \end{array} 
\end{equation*}

\end{document}

Answer 1

这是最好的代码朋友

\documentclass{article}
\usepackage{amsmath}
\usepackage{graphicx} % Required for inserting images

\title{division}
\author{othnielnzue23 }
\date{October 2023}

\begin{document}
    
    \begin{equation*} 
        \renewcommand{\arraystretch}{1.2} 
        \renewcommand{\arraycolsep}{2pt} 
        \begin{array}{rrrr|rrrr} 
            x&-\dfrac{1}{6}x^3&+\dfrac{1}{120}x^5&   &1  &-\dfrac{1}{2}x^2 &+\dfrac{1}{24}x^4&  \\[0.5em] 
            \cline{5-7} 
            - \Bigl(x \Bigl. &-\dfrac{x^3}{2}& \Bigl. +\dfrac{x^5}{24}\Bigr) &   &  x&+\dfrac{1}{3}x^3&+\dfrac{2}{15}x^5 &\\ 
            \cline{1-4} 
            &2x^2 &   &  &   &   &  \\ 
            &-2x^2&+2x&  &   &   &  \\ 
            \cline{2-4} 
            &     &2x &  &   &   &  \\ 
            &     &-2x&+2&   &   &  \\ 
            \cline{3-4} 
            &     &   &+1&   &   &  \\ 
        \end{array} 
    \end{equation*}
    
\end{document}

现在可以了