if x /Y + y / x is equal to -1 and x, y is not equal to zero then what is the value of x cube minus Y cube
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Step-by-step explanation:
x/y + y/x = -1
(x² + y²)/xy = -1
x² + y² = -xy
x² + y² + xy = 0 -------(1)
Now ,
x³ - y³
(x - y) (x² + xy + y²)
from equation (1)
(x - y) × 0
= 0
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