Without actually calculating the cubes, find the value of :

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

Classify the following as linear, quadratic or cubic polynomial

$x^{2}-9 x+14$

Factorise :

$a^{3}-8 b^{3}-64 c^{3}-24 a b c$

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x+1$

Evaluate the following products without multiplying directly

$78 \times 84$

Factorise :

$2 \sqrt{2} a^{3}+8 b^{3}-27 c^{3}+18 \sqrt{2} a b c$