Evaluate the following products without multiplying directly : $95 \times 96$
$9126$
$9230$
$9120$
$9100$
Write $(3a + 4b + 5c)^2$ in expanded form.
Factorise : $x^{3}-3 x^{2}-9 x-5$
Evaluate the following using suitable identities : $(998)^{3}$
What are the possible expressions for the dimensions of the cuboids whose volumes are given below ?$\boxed{\rm {Volume}\,:3x^2-12x}$
Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases : $p(x)=x^{3}+3 x^{2}+3 x+1$, $g(x)=x+2$.