If x/y+y/x=-1,where x not equal to 0 and y not equal to 0 ,then the value of (x^3-y^3) is
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Step-by-step explanation:
x/y+y/x=1
Taking LCM we get
(x²+y²)/xy = 1
or x² + y² = xy ...... eqn 1
Now, x³ + y³ = (x + y)(x²−xy+y²)
=(x+y)[(x²+y²)−xy]
=(x+y)(xy−xy) ...... Substituting x² + y² = xy
= 0
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