<commit_before>\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{todonotes}
\usepackage{graphicx}
\usepackage{amsmath}
\usepackage[colorlinks, linkcolor=blue, citecolor=blue, urlcolor=blue]{hyperref}

\newenvironment{exercise}[1]{\newpage\section{#1}}{}
\newcommand{\answerbox}[1]{\fbox{$#1$}}
\newcommand{\hint}{\subsection*{Hint}}

\begin{document}
\tableofcontents
\newpage

\begin{exercise}{Addition på kartesisk form 1-1}

Bestem $1+5i+2+7i$.

\answerbox{3 + 12i}

\hint

Bestem sum af den reelle del

\hint

Det giver
\[
1+5i+2+7i = 3 + 5i +7i
\]

\hint

Bestem sum af den imaginære del 


\hint

Det giver 
\[
3 + 5i +7i = 3 + i(5+7) = 3 + 12i
\]

\end{exercise}

\newpage

\begin{exercise}{Addition på kartesisk form 1-2}
	
	Bestem $3+5i+2+3i$.
	
	\answerbox{5 + 8i }
	
	\hint
	
	Bestem sum af den reelle del
	
	\hint
	
	Det giver
	\[
	3+5i+2+3i = 5 + 5i+3i
	\]
	
	\hint
	
	Bestem sum af den imaginære del 
	
	
	\hint
	
	Det giver 
	\[
	5 + 5i+3i = 5 + i(5+3)  = 5 + 8i 
	\]
	
\end{exercise}

\newpage

\begin{exercise}{Addition på kartesisk form 1-3}
	
	Bestem $4-5i+2+7i$.
	
<<<<<<< HEAD
	\answerbox{6+2i}
=======
	\answerbox{6 + 2i}
>>>>>>> henrikmidtiby/master
	
	\hint
	
	Bestem sum af den reelle del
	
	\hint
	
	Det giver
	\[
	4-5i+2+7i = 6 -5i +7i
	\]
	
	\hint
	
	Bestem sum af den imaginære del 
	
	
	\hint
	
	Det giver 
	\[
	6 -5i +7i = 6+ i(-5+7) = 6+2i
	\]
	<commit_msg>Cleaning merge conflict.<commit_after>\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{todonotes}
\usepackage{graphicx}
\usepackage{amsmath}
\usepackage[colorlinks, linkcolor=blue, citecolor=blue, urlcolor=blue]{hyperref}

\newenvironment{exercise}[1]{\newpage\section{#1}}{}
\newcommand{\answerbox}[1]{\fbox{$#1$}}
\newcommand{\hint}{\subsection*{Hint}}

\begin{document}
\tableofcontents
\newpage

\begin{exercise}{Addition på kartesisk form 1-1}

Bestem $1+5i+2+7i$.

\answerbox{3 + 12i}

\hint

Bestem sum af den reelle del

\hint

Det giver
\[
1+5i+2+7i = 3 + 5i +7i
\]

\hint

Bestem sum af den imaginære del 


\hint

Det giver 
\[
3 + 5i +7i = 3 + i(5+7) = 3 + 12i
\]

\end{exercise}

\newpage

\begin{exercise}{Addition på kartesisk form 1-2}
	
	Bestem $3+5i+2+3i$.
	
	\answerbox{5 + 8i }
	
	\hint
	
	Bestem sum af den reelle del
	
	\hint
	
	Det giver
	\[
	3+5i+2+3i = 5 + 5i+3i
	\]
	
	\hint
	
	Bestem sum af den imaginære del 
	
	
	\hint
	
	Det giver 
	\[
	5 + 5i+3i = 5 + i(5+3)  = 5 + 8i 
	\]
	
\end{exercise}

\newpage

\begin{exercise}{Addition på kartesisk form 1-3}
	
	Bestem $4-5i+2+7i$.
	
	\answerbox{6 + 2i}
	
	\hint
	
	Bestem sum af den reelle del
	
	\hint
	
	Det giver
	\[
	4-5i+2+7i = 6 -5i +7i
	\]
	
	\hint
	
	Bestem sum af den imaginære del 
	
	
	\hint
	
	Det giver 
	\[
	6 -5i +7i = 6+ i(-5+7) = 6+2i
	\]
	
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