The degree of ${\mathrm{x}}^2+2\mathrm{xy}+{\mathrm{y}}^2$ is ___.

Given polynomial is,
${\mathrm{x}}^2+2\mathrm{xy}+{\mathrm{y}}^2$
There are two variables x and y, in the given equation.
Now, the degree of a polynomial is the highest power of the unknown variable in that polynomial.
In first term and last term of equation the highest power of variable is 2.
Here, the highest power of unknown variable is 2.
Thus, the degree of the given polynomial = 2.
 The degree of ${\mathrm{x}}^2+2\mathrm{xy}+{\mathrm{y}}^2$ is 2.