If $x=11,$ then the value of $x^{5}-12 x^{4}+12 x^{3}-12 x^{2}+12 x-1$ is

If $x=3$ and $y=4,$ then find the value of $256 x^{4}+160 x^{2} y^{2}+25 y^{4}$.

Resolve into factors: $9(3 x+5 y)^{2}-12(3 x+5 y)(2 x+3 y)+4(2 x+3 y)^{2}$

If $x_{1} x_{2} x_{3} = 4(4 + x_{1} + x_{2} + x_{3})$,then what is the value of $\left[\frac{1}{(2 + x_{1})}\right] + \left[\frac{1}{(2 + x_{2})}\right] + \left[\frac{1}{(2 + x_{3})}\right]$?

If $(x-1)$ is a factor of $Ax^3 + Bx^2 - 36x + 22$ and $2^B = 64^A$,find $A$ and $B$.

If $x+\frac{1}{x}=3,$ then the value of $x^{6}+\frac{1}{x^{6}}$ is