If $x+y+z=0,$ show that $x^{3}+y^{3}+z^{3}=3 x y z$.
Factorise : $2 y^{3}+y^{2}-2 y-1$
Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. $4 x^{2}-3 x+7$.
Find the value of the polynomial $5x -4x^2+ 3$ at $x = -\,1$.
Expand each of the following, using suitable identities : $(x+2 y+4 z)^{2}$