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Answer:
Step-by-step explanation:
TAKE LCM
X^2 + Y^2
________ = -1
XY
Therefore
X^2 + Y^2 =-XY
X^2 +Y^2 +XY=0 ( EQUATION 1 )
As we know
A^3 -B^3= ( A- B ) ( A^2+B^2+AB)
THEREFORE
X^3-Y^3 = ( X-Y) ( X^2 +Y^2 +XY)
USING EQUATION 1
X^3-Y3= (X-Y) ( 0 )
THEREFORE X^3-Y3=0
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