If $x+5$ is a factor of $x^{3}+13 x^{2}+a x+35$ find the value of $a$.

Write the following cubes in expanded form

$(2 a-5 b)^{3}$

Factors of $x^{2}-23 x+120$ are………

Expand the following:

$(-x+2 y-3 z)^{2}$

Find the following products:

$\left(\frac{x}{2}+2 y\right)\left(\frac{x^{2}}{4}-x y+4 y^{2}\right)$