Without finding the cubes, factorise $(x-y)^{3}+(y-z)^{3}+(z-x)^{3} .$

Write the coefficient of $x^{2}$ in the following polynomials

$\sqrt{3} x^{2}+11$

Give an example of a polynomial, which is:

$(i)$ monomial of degree $1$

$(ii)$ binomial of degree $20$

$(iii)$ trinomial of degree $2$

Write the following cubes in expanded form

$(3 a+5 b)^{3}$

Classify the following polynomials as polynomials in one variable, two variables etc.

$x^{2}-2 x y+y^{2}+1$