Without actual division, prove that $2 x^{4}-5 x^{3}+2 x^{2}-x+2$ is divisible by $x^{2}-3 x+2$
Without actually calculating the cubes, find the value of :
$(0.2)^{3}-(0.3)^{3}+(0.1)^{3}$
Factorise
$6 x^{3}+7 x^{2}-14 x-15$
Expand
$\left(\frac{x}{2}+\frac{2 y}{3}-\frac{3 z}{4}\right)^{2}$
Write the coefficients of $x^{2}$ in each of the following polynomials
$x^{3}+27$