Find the degree of each of the polynomials given below : $2$

Verify : $x^{3}+y^{3}=(x+y)\left(x^{2}-x y+y^{2}\right)$

Write the following cubes in expanded form : $\left[x-\frac{2}{3} y\right]^{3}$

Verify whether the following are zeroes of the polynomial, indicated against them.

$p(x)=x^{2}, \,x=0$

Factorise : $x^{3}+13 x^{2}+32 x+20$

Use suitable identities to find the products : $(x+8)(x-10)$