Evaluate using suitable identities : $(104)^{3}$

Factorise of the following :  $27-125 a^{3}-135 a+225 a^{2}$

Factorise $4 x^{2}+y^{2}+z^{2}-4 x y-2 y z+4 x z$.

Evaluate the following using suitable identities : $(998)^{3}$

Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $x-\frac{1}{2}$

Without actually calculating the cubes, find the value of each of the following : $(28)^{3}+(-15)^{3}+(-13)^{3}$