Resolve into factors: $16(x-y)^{2}-9(x+y)^{2}$

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

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

When $4x^3 - ax^2 + bx - 4$ is divided by $x - 2$ and $x + 1$,the respective remainders are $20$ and $-13$. Find the values of $a$ and $b$.

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 $5x^{2}-4x-1$ is divided by $x-1$,then the remainder is