Question

a/b-b/a=3 then, a³/b³+b³/a³​

Answer 1

Answer:

$\frac{a}{b} - \frac{b}{a} = 3 \\ \\ now \: ( \frac{a}{b} - \frac{b}{a})^{3} = \frac{ {a}^{3} }{ {b}^{3} } - \frac{ {b}^{3} }{ {a}^{3} } - 3 \frac{ab}{ba}( \frac{a}{b} - \frac{b}{a}) \\ {3}^{3} = \frac{ {a}^{3} }{ {b}^{3} } -\frac{ {b}^{3} }{ {a}^{3} } - 3(3) \\ 27 + 9 = \frac{ {a}^{3} }{ {b}^{3} } -\frac{ {b}^{3} }{ {a}^{3} } \\ \frac{ {a}^{3} }{ {b}^{3} } -\frac{ {b}^{3} }{ {a}^{3} } = 36 \: is \: \: the \: \: answer$

please mark as brainliest if you like it.....