Prove that $(a+b+c)^{3}-a^{3}-b^{3}-c^{3}=3(a+b)(b+c)(c+a).$
Write the coefficient of $x^{2}$ in each of the following:
$(i)$ $(x-1)(3 x-4)$
$(ii)$ $(2 x-5)\left(2 x^{2}-3 x+1\right)$
Factorise the following:
$4 x^{2}+20 x+25$
Factorise the following:
$16 x^{2}+4 y^{2}+9 z^{2}-16 x y-12 y z+24 x z$
Classify the following as linear, quadratic or cubic polynomial
$8 x^{3}-343$