Final answer:
The third term in the expansion of (x + y)^6 is 15x^4y^2.
Step-by-step explanation:
The third term in the expansion of (x + y)^6 can be found using the binomial theorem.
The general formula for the nth term in the expansion of (a + b)^n is given by C(n, k) * a^(n-k) * b^k, where k represents the term's position.
In this case, n = 6 and k = 2. Plugging these values into the formula, we get C(6, 2) * x^(6-2) * y^2. C(6, 2) is the number of combinations of 6 items taken 2 at a time, which is 15.
Therefore, the third term is 15x^4y^2 (option c).