(a(i))[2]
Determine the term that is independent of $x$ in the expansion of $\left(\frac{2}{x} - 3x\right)^6$.
(a(ii))[3]
Determine the value of $a$ for which no term independent of $x$ appears in the expansion of $(1 + ax^2)\left(\frac{2}{x} - 3x\right)^6$.
(i)[2]
Determine the term that is independent of $x$ in the expansion of $\left(\frac{2}{x} - 3x\right)^6$.
(ii)[3]
Determine the value of $a$ for which no term independent of $x$ appears in the expansion of $(1 + ax^2)\left(\frac{2}{x} - 3x\right)^6$.