Expand

$(6 x-7)^{2}$

Find the value of each of the following polynomials at the indicated value of variables

$q(y)=5 y^{3}-4 y^{2}+14 y-\sqrt{3}$ at $y=2$

Factorise

$x^{3}+8 x^{2}+9 x-18$

Factorise the following:

$4 x^{2}+20 x+25$

Without actual division, prove that $2 x^{4}-5 x^{3}+2 x^{2}-x+2$ is divisible by $x^{2}-3 x+2$