Without actually calculating the cubes, find the value of each of the following

$(0.2)^{3}-(0.3)^{3}+(0.1)^{3}$

Which of the following expressions is a polynomial, state the reason ? If an expression is polynomial, state whether it is a polynomial in one variable or not

$x^{2}+y^{2}+z^{2}+2 x y+2 y z+2 z x$

Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by

$2 x-3$

Expand

$\left(\frac{2 x}{3}+\frac{4 y}{5}\right)\left(\frac{2 x}{3}-\frac{4 y}{5}\right)$

If $x+3$ is a factor of $x^{3}+12 x^{2}+a x+60$ then $a=\ldots \ldots \ldots$

Without finding the cubes, factorise

$(x-2 y)^{3}+(2 y-3 z)^{3}+(3 z-x)^{3}$