Using the triangle of pascal we have that the expression equivalent to (x + y) ^ 6 is given by: x ^ 6 + 6x ^ 5y + 15x ^ 4y ^ 2 + 20x ^ 3y ^ 3 + 15x ^ 2y ^ 4 + 6xy ^ 5 + y ^ 6 Therefore, the coefficients of the expansion are given by: 1, 6, 15, 20, 15, 6, 1 Answer: The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y) ^ 6 are 1, 6, 15, 20, 15, 6, 1
