When k takes what value, the square of polynomial x-3 + 1 / 2xy-3y + 4kxy has no XY term
x²-3+½xy-3y²+4ky=x²-3y²+(4k+½)xy -3
Without XY term, the coefficient of XY term is 0
4k+½=0
4k=-½
k=-1/8
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