Question

if a/b+b/a= -1,then a³-b³=?​

Answer 1

Answer:

0

Step-by-step explanation:

$\frac{a}{b} + \frac{b}{a} = - 1 \\ = \frac{ {a}^{2} + {b}^{2} } {ab } = - 1 \\ = {a}^{2} + {b}^{2} = - ab \\ = (a - b)( {a}^{2} + ab + {b}^{2} ) = (a - b)0 \\ = {a}^{3} - {b}^{3} = 0$