If $p=99,$ then the value of $p(p^{2}+3p+3)$ is

Let $f(x) = a_{0}x^{n} + a_{1}x^{n-1} + a_{2}x^{n-2} + \ldots + a_{n-1}x + a_{n}$,where $a_{0}, a_{1}, a_{2}, \ldots, a_{n}$ are constants. If $f(x)$ is divided by $ax - b$,then the remainder is:

If $x+y+z=9$ and $xy+yz+zx=23$,then the value of $x^3+y^3+z^3-3xyz$ is

If $\frac{x}{y} + \frac{y}{x} = 6,$ then find the value of $\frac{x^{3}}{y^{3}} + \frac{y^{3}}{x^{3}}.$

If $(x+\frac{1}{x})=5,$ what is the value of $(x^{5}+\frac{1}{x^{5}})?$

If $2x + \frac{1}{2x} = 2$,then what is the value of $\sqrt{2(\frac{1}{x})^4 + (\frac{1}{x})^5}$?