Question

Pls solve this as soon as possible

Answer 1

Answer:

x³ - y³ = 0

Step-by-step explanation:

Given : $\frac{x}{y}+\frac{y}{x}=-1$

To Find : value of (x³ - y³)

Since, $\frac{x}{y}+\frac{y}{x}=-1$

$\frac{x^2+y^2}{xy}=-1$

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.