(a)[2]
Simplify the expression $\dfrac{3a^2}{10bc} \div \dfrac{9a}{5b^2c}$.
(b)[2]
Simplify the fraction $\dfrac{h-k}{5h-5k}$.
(c)[1]
Factorise $9m^2-4n^2$.
(d)[2]
Factorise $q(p-2)+3(2-p)$.
(e(i))[2]
Find the two solutions of $5x-1=\pm 9$.
(e(ii))[2]
The roots of $5x-1=\pm 9$ are also the roots of $5x^2+Bx+C=0$, where $B$ and $C$ are integers. Determine $B$ and $C$.