Question

if a/b+b/a= -1 then (a³-b³)=?

Answer 1

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

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