I reproduced the table, you posted in the image. In your code, you had too many cells. The third row has three & specifiers. This can't work.
You have to put every cell in math-mode. For example with $...$. As you are just using math in the whole table, you can set the complete columns in math mode with help of the package array:
% arara: pdflatex
\documentclass{article}
\usepackage{booktabs,array}
\begin{document}
\begin{tabular}{>{$}c<{$} >{$}c<{$} >{$}c<{$} >{$}c<{$}}
\toprule
& x<0 & x=0 & x>0 \\
\cmidrule(l){2-4} % the (l) is optional. The screenshot shows a version without it
y<0 & x^2-y^2 & x^2+y^2 & x^2-y^2 \\
y=0 & x+y & x^2-y^2 & x+y \\
y>0 & x^2+y^2 & x+y & x^2+y^2 \\
\bottomrule
\end{tabular}
\end{document}

If you need to add more rows with text in it, you will have to write \text{...} in each cell and load the package mathtools for that purpose. You will have to decide for each table if you are having more math or more text and use or omit the >{$}c<{$} likewise.
\documentclass{...}and ending with\end{document}. You might also want to add to your question how you're including the pdfs etc. You can use thearrayenvironment – Aradnix Oct 08 '14 at 07:27$...$as they are mathematical expressions. – LaRiFaRi Oct 08 '14 at 07:28