Factorise each of the following
$x^{3}-125 y^{3}-15 x^{2} y+75 x y^{2}$
$(x-5 y)(x-5 y)(x-5 y)$
Expand
$\left(x-\frac{1}{2}\right)^{2}$
Write the degree of each of the following polynomials
$5 x^{2}+12 x+4$
Factorise the following:
$9 x^{2}-12 x+4$
Write whether the following statements are True or False. Justify your answer.
$\frac{1}{\sqrt{5}} x^{\frac{1}{2}}+1$ is a polynomial
On dividing $16 x^{2}-24 x+9$ by $4 x-3,$ find the remainder.
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