Question

please answer this:​

Answer 1

Answer:

$using \: \: ( {a}^{3} - {b}^{3} ) \\ \\ we \: get \: \: (a - b) ( {a}^{2} + {b}^{2} + ab) \\ \\ \\ that \: is \\ \\ ( \frac{1}{3} ) - ( \frac{1}{9} ) \: \: ( \frac{1}{3} \times \frac{1}{3} + \frac{1}{9} \times \frac{1}{9} + \frac{1}{3} \times \frac{1}{9} ) \\ \\ = \frac{2}{9} \times \frac{1}{9} + \frac{1}{81} + \frac{1}{27 } \\ \\ = \frac{2}{9} \times \frac{13}{81} \: \: (taking \: the \: l.c.m) \\ \\ = \frac{26}{729} \times {3}^{2} \\ \\ = \frac{26}{729} \times 9 \\ \\ = \frac{26}{81} \: \: (by \: \: dividing \: 729 \: by \: 9) \\ \\ therefore \: answer \: = \frac{26}{81}$

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