(a(i))[2]
Factorise the expression $2mn + m^2 - 6n - 3m$.
(a(ii))[1]
Factorise the expression $4y^2 - 81$.
(a(iii))[2]
Factorise the quadratic $t^2 - 6t + 8$.
(b)[4]
Rearrange the formula $k = \frac{2m - x}{x}$ to make x the subject.
(c)[3]
Solve the simultaneous equations $\frac{1}{2}x - 3y = 9$ and $5x + y = 28$. You must include all working.
(d(i))[3]
Show that the equation can be rewritten as $6m^2 + 25m + 16 = 0$.
(d(ii))[4]
Solve the equation $6m^2 + 25m + 16 = 0$. Show every step of your working and give your answers correct to 2 decimal places.