Question

If x/y + y/x = -1 (x, y ≠ 0), then find the value of x³ – y³​

Answer 1

Answer:

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