Answer
$2x^2y+8xy$ has a degree of 3
Work Step by Step
$$(-2x^2y+xy)+(4x^2y+7xy)$$ $$=-2x^2y+xy+4x^2y+7xy$$ $$=-2x^2y+4x^2y+xy+7xy$$ $$=(-2+4)x^2y + (1+7)xy$$ $$=2x^2y+8xy$$
This expression has a degree of 3. To find the degree of the express, use the degree of the term with the largest degree. There are two terms: 2x^2y and 8xy. The term 2x^2y has a degree of 3 because you add together the degrees of each of the variables: x has a degree of 2, y has a degree of 1. The term 8xy has a degree of 2 as both the x and y each have a degree of 1.