The factorisation of $4 x^{2}+8 x+3$ is

For the polynomial

$\frac{x^{3}+2 x+1}{5}-\frac{7}{2} x^{2}-x^{6},$ write

$(i)$ the degree of the polynomial

$(ii)$ the coefficient of $x^{3}$

$(iii)$ the coefficient of $x^{6}$

$(iv)$ the constant term

Find the zero of the polynomial in each of the following cases

$p(x)=\frac{2}{3} x+\frac{5}{4}$

Expand

$\left(\frac{2 x}{3}+\frac{3 y}{4}\right)^{2}$

Expand

$(2 x+5 y)^{2}$

Which of the following is a factor of $(x+y)^{3}-\left(x^{3}+y^{3}\right) ?$