1.12: Binomial expansion and term independent of xx

0606/12/O/N/17 — Question 3 · 6 marks · Binomial

(i)
Find, in ascending powers of xx, the first 3 terms in the expansion of (2x24)5\left(2 - \tfrac{x^{2}}{4}\right)^{5}.
[3]
(ii)
Hence find the term independent of xx in the expansion of (2x24)5(1x3x2)2\left(2 - \tfrac{x^{2}}{4}\right)^{5}\left(\tfrac{1}{x} - \tfrac{3}{x^{2}}\right)^{2}.
[3]