Question

Pls solve this as soon as possible

Answer 1

x³ - y³ = 0

Explanation:

Given :
`(x)/(y)+(y)/(x)=-1`

To Find : value of (x³ - y³)

Since,
`(x)/(y)+(y)/(x)=-1`

`(x^2+y^2)/(xy)=-1`

x² + y² = -xy

x² + y² + xy = 0 -----(1)

Since, x³ - y³ = (x - y)(x² + xy + y²) [From the formula, (a³ - b³) = (a -b)(a²+ b² + ab)

= (x - y)(0) {From equation (1)]

= 0

Therefore, value of x³ - y³ = 0 will be the answer.