1.7: Binomial expansion with negative powers of $x$

0606/12/M/J/16 — Question 2 · 5 marks · Binomial

(i)

The first 3 terms in the expansion of

\left(2 - \tfrac{1}{4x}\right)^{5}

are

a + \tfrac{b}{x} + \tfrac{c}{x^{2}}

. Find the value of each of the integers

a

b

and

c

[3]

(ii)

Hence find the term independent of

x

in the expansion of

\left(2 - \tfrac{1}{4x}\right)^{5}(3 + 4x)

[2]

1.7: Binomial expansion with negative powers of xxx