I think you mustve left out the = sign, but if it's supposed to be x=-y3 I think that would be... y=-3x
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x^2/y^3 = x^2*y^(-3)
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
Y3
12x2 - 24x + 9y
no