(a)[2]
Expand, then simplify $4(2x-1)-6(3-x)$.
(b(i))[2]
Factorise fully $6x^2y+9xy$.
(b(ii))[3]
Factorise fully $4x^2-y^2+8x+4y$.
(c(i))[4]
Show that the result is $13x^2-620x-3000=0$.
(c(ii))[3]
Solve $13x^2-620x-3000=0$ to determine the speed Antonio travels for the first 100 km of the journey. You must show all your working and give your answer correct to 1 decimal place.