An expression of the second degree can be any kind of expression, the most popular being a quadratic polynomial of the form ax^2 + bx + c.
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I will assume that you mean -2xy3+3x2y. Then by "degree" is usually meant the total degree--the maximum sum of exponents of all variables. Here the first term has degree 1+3=4 and the second term has degree 2+1=3, so the degree of the entire expression is 4. It is also a 2nd degree expression in x and a 3rd degree expression in y.
xy2z3 is an expression of degree 6.
If its proper- the degree of the top is less than the degree of the bottom If its improper- the degree of the top is greater than or equal to the degree of the bottom
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It's a second degree trinomial expression in x. It's a perfect square, being the square of (x-2).