Question : If $m-n=2$ and $mn=15,(m,n>0)$ , then the value of $(m^2-n^2)(m^3-n^3)$ is:

Question : If $m x^m-n x^n=0$, then what is the value of $\frac{1}{x^m+x^n}+\frac{1}{x^m-x^n}$ terms of $x^n$ is: Where $x,m,n$ are $>0$

Question : If $m=\sqrt{5+\sqrt{5+\sqrt{5+........}}}$ and $n=\sqrt{5-\sqrt{5-\sqrt{5...........}}}$ then among the following, the relation between m and n is:

Question : If $m+\frac{1}{m-2}=4$, then find the value of $(m-2)^2+\frac{1}{(m-2)^2}$.

Question : If $x+\frac{1}{x}=2$, then the value of $x^{2}+\frac{1}{x^{6}}$ is equal to: