Question

Tail me plzzzz
I will mark you as brainliest ​

Answer 1

Answer:

$gvive \: as \\ (a {}^{4} + \frac{1}{a {}^{4} } ) = 727 \\ (a {}^{2} + \frac{1}{a {}^{2} } ) {}^{2} = (a {}^{4} + \frac{1}{a {}^{4} } ) + 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 727 + 2 = 729 \\ now \\ (a - \frac{1}{a} ) {}^{2} = (a {}^{2} + \frac{1}{a {}^{2} } ) - 2 = (\sqrt{729}) - 2 = 25 \\ thus \\ (a - \frac{1}{a} ) {}^{3} = (a {}^{3} - \frac{1}{a {}^{3}}) + 3(a - \frac{1}{a} ) \\ ( \sqrt{25} ) {}^{3} = (a {}^{3} - \frac{1}{a {}^{3} } ) + 3 \times \sqrt{25} \\ 5{}^{3} - 3 \times 5 = (a {}^{3} - \frac{1}{a {}^{3} } ) \\ (a {}^{3} - \frac{1}{a {}^{3} } ) = 110$