Simplify $\frac{0.2 \times 0.2 + 0.2 \times 0.02}{0.044}$

If $\left(x+\frac{1}{x}\right)^{2}=3$,then the value of $x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^{6}+1$ is

In an examination,a student was asked to find $\frac{3}{14}$ of a certain number. By mistake,he found $\frac{3}{4}$ of it. His answer was $150$ more than the correct answer. The given number is

$\frac{(0.87)^{3}+(0.13)^{3}}{(0.87)^{2}+(0.13)^{2}-(0.87) \times(0.13)}$ is equal to

If the sum of squares of two real numbers is $41$ and their sum is $9,$ then the sum of cubes of these two numbers is

The value of $(3+2 \sqrt{2})^{-3}+(3-2 \sqrt{2})^{-3}$ is