[tex] (6 s^2 t - 2 s t^2) + (4 s^2 t - 3 s t^2) = 10 s^2 t - 5 s t^2 [/tex]
The resulting sum is a binomial, since there are two terms in the expression.
The two variables, s and t, are raised to varying powers. In the first term, s is raised to a power of 2, and t is raised to a power of 1. In the second term, s is raised to a power of 1, and t is raised to a power of 2. The degree of each term is found by adding their powers together:
[tex] s^{(2)} + t^{(1)} = 2 + 1 = 3 [/tex]
[tex] s^{(1)} + t^{(2)} = 1 + 2 = 3 [/tex]
The degree of both terms is 3, which means that the sum is a binomial with a degree of 3.
