Ask for a math problem: if x + y = 3, xy = - 4, then the algebraic formula y ^ 3x-x ^ 3Y=_____ Thank you! Please answer as soon as possible

Ask for a math problem: if x + y = 3, xy = - 4, then the algebraic formula y ^ 3x-x ^ 3Y=_____ Thank you! Please answer as soon as possible

The above practice is very wordy! This type of question is to investigate the overall substitution!
y^3x-x^3y=xy(y^2-x^2)
=XY (x + y) (Y-X) = XY (x + y) × {± radical [(x + y) ^ 2-4xy]}
Substituting x + y = 3, xy = - 4 as a whole, we get: x + y = 3, xy = - 4
Original formula = (- 4) × 3 × [± radical (3 ^ 2 + 4 ^ 2)]
=-12×(±5)
=±60