If $x = \frac{a}{a-1}$ and $y = \frac{1}{a-1}$,then

If $(x + \frac{1}{x})^2 = 3$,then $(x^3 + \frac{1}{x^3})$ is equal to

$\frac{(469+174)^{2}-(469-174)^{2}}{469 \times 174} = ?$

The value of $\frac{0.125+0.027}{0.5 \times 0.5+0.09-0.15}$ is

The highest score in an inning was $\frac{2}{9}$ of the total score and the next highest was $\frac{2}{9}$ of the remainder. These scores differ by $8$ runs. What was the total score in the innings?

If $M = \left(\frac{3}{7}\right) \div \left(\frac{6}{5}\right) \times \left(\frac{2}{3}\right) + \left(\frac{1}{5}\right) \times \left(\frac{3}{2}\right)$ and $N = \left(\frac{2}{5}\right) \times \left(\frac{5}{6}\right) \div \left(\frac{1}{3}\right) + \left(\frac{3}{5}\right) \times \left(\frac{2}{3}\right) \div \left(\frac{3}{5}\right)$,then what is the value of $\frac{M}{N}$?