Question

a/b+b/a=-1, then a^3-b^3=?

1

-1

1/2

0​

Answer 1

Answer:

0

Step-by-step explanation:

$\frac{a}{b} + \frac{b}{a} = 1$

$\frac{a {}^{2} + b {}^{2} }{ab} = 1$

$a {}^{2} + b {}^{2} - ab = 0$

Now , a³ + b³ = ( a + b ) ( a² + b² - ab )

$a {}^{3} + b {}^{3} = (a + b) \times 0 = 0$