1.19: Binomial expansion and term independent of xx

0606/13/O/N/16 — Question 4 · 6 marks · Binomial

(i)
Find, in ascending powers of xx, the first 3 terms in the expansion of (2x4)6\left(2 - \tfrac{x}{4}\right)^{6}.
[3]
(ii)
Hence find the term independent of xx in the expansion of (4+2x+3x2)(2x4)6\left(4 + \tfrac{2}{x} + \tfrac{3}{x^{2}}\right)\left(2 - \tfrac{x}{4}\right)^{6}.
[3]