3.11: Binomial expansion (adjacent on paper)

Find the first three non-zero terms in the expansion of $\left(2 - \dfrac{x^{2}}{4}\right)^{6}$ in ascending powers of $x$. Simplify each term.

Hence find the term independent of $x$ in the expansion of $\left(2 - \dfrac{x^{2}}{4}\right)^{6}\left(3 - \dfrac{1}{x^{2}}\right)^{2}$.