\documentclass[10pt,a4paper]{article}

% Packages
\usepackage{fancyhdr}           % For header and footer
\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
\usepackage{graphicx}           % For images
\usepackage{xcolor}             % For hex colours
%\usepackage[utf8x]{inputenc}    % For unicode character support
\usepackage[T1]{fontenc}        % Without this we get weird character replacements
\usepackage{colortbl}           % For coloured tables
\usepackage{setspace}           % For line height
\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{enfoiree (enfoiree\_)}
\pdfinfo{
  /Title (sem-2-math-exam.pdf)
  /Creator (Cheatography)
  /Author (enfoiree (enfoiree\_))
  /Subject (Sem 2 Math Exam Cheat Sheet)
}

% Lengths and widths
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\setlength{\headheight}{85pt} % If less, LaTeX automatically increases it
\renewcommand{\footrulewidth}{0pt} % Remove footer line
\renewcommand{\headrulewidth}{0pt} % Remove header line
\renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit
% This two commands together give roughly
% the right line height in the tables
\renewcommand{\arraystretch}{1.3}
\onehalfspacing

% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
\newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols
\newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns
\newcommand{\tn}{\tabularnewline} % Required as custom column type in use

% Font and Colours
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\definecolor{LightBackground}{HTML}{F3F3F3}
\renewcommand{\familydefault}{\sfdefault}
\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Sem 2 Math Exam Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{enfoiree (enfoiree\_)} via \textcolor{DarkBackground}{\uline{cheatography.com/166759/cs/35401/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}enfoiree (enfoiree\_) \\
  \uline{cheatography.com/enfoiree} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 21st November, 2022.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{3}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Perfect Squares}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/enfoiree_1668127395_Screenshot (56) - Copy.png}}} \tn 
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.09848 cm} x{1.51041 cm} x{1.96811 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Example of Perfect Squares}}  \tn
% Row 0
\SetRowColor{LightBackground}
(x + 1)\textasciicircum{}2\textasciicircum{} & (2x - 5)\textasciicircum{}2\textasciicircum{} & (x + 2√3)\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 2 (+ 2)
% Row 1
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x\textasciicircum{}2\textasciicircum{} + 2x + 1 & 4x\textasciicircum{}2\textasciicircum{} - 20x + 5\textasciicircum{}2\textasciicircum{} & x\textasciicircum{}2\textasciicircum{} + 4√6x + 2√3\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 4 (+ 2)
% Row 2
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 & 4x\textasciicircum{}2\textasciicircum{} - 20x + 25 & x\textasciicircum{}2\textasciicircum{} + 4√6x + 12 \tn 
% Row Count 6 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Difference of Two Squares}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/enfoiree_1668127473_Screenshot (55) - Copy.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{p{0.4577 cm} p{0.4577 cm} p{0.4577 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Examples of Difference of Two Squares}}  \tn
% Row 0
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\mymulticolumn{3}{x{5.377cm}}{(x - 1) (x + 1)} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{3}{x{5.377cm}}{x\textasciicircum{}2\textasciicircum{}} \tn 
% Row Count 2 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.09034 cm} x{2.88666 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Examples of Difference of Two Squares}}  \tn
% Row 0
\SetRowColor{LightBackground}
(x - 1) (x + 1) & (2m + 5) (2m - 5) \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
x\textasciicircum{}2\textasciicircum{} + x - x - 1 & 4m\textasciicircum{}2\textasciicircum{} - 10m + 10m - 25 \tn 
% Row Count 2 (+ 1)
% Row 2
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x\textasciicircum{}2\textasciicircum{} - 1 & 4m\textasciicircum{}2\textasciicircum{} - 25 \tn 
% Row Count 3 (+ 1)
% Row 3
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% Row Count 3 (+ 0)
% Row 4
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% Row Count 4 (+ 1)
% Row 5
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% Row Count 5 (+ 1)
% Row 6
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\mymulticolumn{2}{x{5.377cm}}{3x\textasciicircum{}2\textasciicircum{} - 5} \tn 
% Row Count 6 (+ 1)
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.78712 cm} x{2.18988 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Examples of Difference of Two Squares}}  \tn
% Row 0
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(x - 1) (x + 1) & (2m + 5) (2m - 5) \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
x\textasciicircum{}2\textasciicircum{} + x - x - 1 & 4m\textasciicircum{}2\textasciicircum{} - 10m + 10m - 25 \tn 
% Row Count 3 (+ 2)
% Row 2
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x\textasciicircum{}2\textasciicircum{} - 1 & 4m\textasciicircum{}2\textasciicircum{} - 25 \tn 
% Row Count 4 (+ 1)
% Row 3
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% Row Count 4 (+ 0)
% Row 4
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(√3x + √5) (√3x + √5) & = 3x\textasciicircum{}2\textasciicircum{} - √15 + √15 \tn 
% Row Count 6 (+ 2)
% Row 5
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% Row Count 7 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}