Factorise
$16 x^{4}-y^{4}$
If $p(x)=x^{2}-2 \sqrt{2} x+1,$ then $p(2 \sqrt{2})$ is equal to
Find the quotient and the remainder when $x^{3}+x^{2}-10 x+8$ is divided by
$x-2$
One of the factors of $\left(25 x^{2}-1\right)+(1+5 x)^{2}$ is
Write the coefficient of $x^{2}$ in each of the following:
$(i)$ $(x-1)(3 x-4)$
$(ii)$ $(2 x-5)\left(2 x^{2}-3 x+1\right)$