Question : The value of $2 \frac{3}{5} \div\left[2 \frac{1}{3} \div\left\{4 \frac{1}{3}-\left(2 \frac{1}{2}+\frac{2}{3}\right)\right\}\right]$ is equal to:

Question : Simplify the given expression.
$40 \times 7-2 \times\left(11^3 \div 11\right) \div 22+30$

Question : Simplify the expression: $\frac{3-\operatorname{\sin}^2 A+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$

Question : Simplify the expression:
$\frac{1}{8}\left[\frac{1}{b-1}-\frac{1}{b+1}-\frac{2}{b^2+1}-\frac{4}{b^4+1}\right]$

Question : Simplify the expression: $\frac{(u–v)^{3}+(v–w)^{3}+(w–u)^{3}}{(u^{2}–v^{2})^{3}+(v^{2}–w^{2})^{3}+(w^{2}–u^{2})^{3}}$