Write the following cubes in expanded form

$(4 x-3 y)^{3}$

Using suitable identity, evaluate the following:

$103^{3}$

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x-1$

Factorise :

$x^{3}+x^{2}-4 x-4$

Classify the following as a constant, linear,quadratic and cubic polynomials:

$1+x+x^{2}$