1.10: Binomial expansion and term independent of xx

0606/12/M/J/20 — Question 3 · 6 marks · Binomial

(a)
Find the first 3 terms in the expansion of (4x16)6\left(4 - \tfrac{x}{16}\right)^{6} in ascending powers of xx. Give each term in its simplest form.
[3]
(b)
Hence find the term independent of xx in the expansion of (4x16)6(x1x)2\left(4 - \tfrac{x}{16}\right)^{6}\left(x - \tfrac{1}{x}\right)^{2}.
[3]