Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. $4 x^{2}-3 x+7$.
Write the following cubes in the expanded form : $(3 a+4 b)^{3}$
Use suitable identities to find the products : $(x+8)(x-10)$
Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $x-\frac{1}{2}$
Factorise $: 8 x^{3}+y^{3}+27 z^{3}-18 x y z$