(a)[2]
Write $6x^2y^3 - 15x^3y$ in fully factorised form.
(b)[3]
Find the values of $x$ that satisfy $\frac{4}{x} + \frac{2}{x+2} = 3$.
(c(i))[3]
Using $x \ge 1$, $y \le 4$, $x+y \le 6$, and $y \ge x$, shade and name the region $R$.
(c(ii))[2]
The point $M$ comes from the intersection of $x = 1$ and $y = 4$. The point $N$ comes from the intersection of $x+y = 6$ and $y = x$. Determine the gradient of $MN$.