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Answer 1

Answer:

$\displaystyle \: \frac{a}{b} = \frac{7}{3} ....(given)$

$\sf\displaystyle \therefore \: \frac{a {}^{3} }{ {b}^{3} } = \frac{ {7}^{3} }{ {3}^{3} } = \green{ \frac{343}{27} }$

$\sf \displaystyle \frac{ {a}^{3} - {b}^{3} }{ {b}^{3} } = \green{ \frac{343 - 27}{27} }$

$\sf \displaystyle \therefore \frac{ {a}^{3} - {b}^{3} }{ {b}^{3} } = \frac{316}{27}$