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\end{Exercise}  Two polynomials $f,g \in \Fb[x,y]$ are called \emph{equal} if   \begin{center}  \emph{a term ${x_1}^iy^j$ ${x}^iy^j$  appears in $f$ with nonzero coefficient $a_{i,j}$ \\ if and only if \\  ${x_1}^iy^j$ ${x}^iy^j$  appears in $g$ with coefficient $a_{i,j}$.} \end{center}  Then, we can see that, in $\Fb[x,y]$, $x^3+0y^{12}=x^3=x^3+0xy^{32}$.  \\