if x/y+y/x=-1 (x,y ≠ 0)the value of x^3-y^3 is
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if
y
x
+
x
y
=−1
simplifies to x
2
+xy+y
2
=0
as (x
3
−y
3
)=(x−y)(x
2
+xy+y
2
)=0 using above result
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