Evaluate

$153 \times 147$

If $a+b+c=5$ and $a b+b c+c a=10,$ then prove that $a^{3}+b^{3}+c^{3}-3 a b c=-25.$

Factorise

$x^{3}-8 y^{3}-27-18 x y$

Zero of the zero polynomial is

Write the coefficients of $x^{2}$ in each of the following polynomials

$4+7 x+3 x^{2}$

Factorise

$4 x^{2}+9 y^{2}+49 z^{2}-12 x y+42 y z-28 z x$