Evaluate the following using suitable identities : $(102)^{3}$

Find the value of $k$, if $x -1$ is a factor of $p(x)$ in this case : $p(x)=k x^{2}-3 x+k$

Divide the polynomial  $3 x^{4}-4 x^{3}-3 x-1$ by $x-1$.

Write the following cubes in expanded form : $(2 x+1)^{3}$

Find $p(0)$, $p(1)$ and $p(2)$ for  of the following polynomials : $p(x)=x^{3}$

Verify : $x^{3}+y^{3}=(x+y)\left(x^{2}-x y+y^{2}\right)$