Why does the sum of polynomial x ^ 2 + XY + y ^ 2 and polynomial 2x ^ 2 + 3kxy + 3Y ^ 2 contain no XY term when k is a value

Why does the sum of polynomial x ^ 2 + XY + y ^ 2 and polynomial 2x ^ 2 + 3kxy + 3Y ^ 2 contain no XY term when k is a value

Sum of polynomial x ^ 2 + XY + y ^ 2 and polynomial 2x ^ 2 + 3kxy + 3Y ^ 2
=3X^2+(3K+1)XY+4Y^2
The sum does not contain XY term, that is 3K + 1 = 0 = = > k = - 1 / 3