Evaluate the following products without multiplying directly : $104 \times 96$

Write the following cubes in expanded form : $(2 a-3 b)^{3}$

Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases :  $p(x)=2 x^{3}+x^{2}-2 x-1$, $g(x)=x+1$.

Evaluate using suitable identities : $(999)^{3}$

Verify whether the following are zeroes of the polynomial, indicated against them.

$p(x)=2 x+1, \,\,x=\frac{1}{2}$

Check whether the polynomial $q(t)=4 t^{3}+4 t^{2}-t-1$ is a multiple of $2 t+1$.