bear in mind that, the degree of a term, comes from the sum of exponents of its variables, and degree of the polynomial, is the highest from all terms,
[tex]\bf 3x^2+6[xy-10x^5+y^2-10x^3y^5]
\\\\\\
3x^2+6xy-60x^5+6y^2-60x^3y^5
\\\\\\
\textit{let's check the degree of every term}\quad
\begin{cases}
3x^2&de gree~2\\\\
6x^1y^1&1+1\\
&de gree~2\\\\
60x^5&de gree~5\\\\
6y^2&de gree~2\\\\
60x^3y^5&3+5\\
&de gree~8
\end{cases}[/tex]
