Binomial Expansion
1. (i) Calculate the coefficient of in the expansion of
. [2]
(ii) Obtain the expansions of and
in ascending powers of x. Hence or otherwise, find the coefficient of x, x2 and x3 in the expansion of
. [4]
2. (a)
(i) Find the first three terms in the expansion, in ascending powers of x, of . [2]
(ii) Hence find the value of p such that the coefficient of in the expansion of
is
. [3]
(b) Find the term independent of x in the expansion of . [3]
3. Write down and simplify the first four terms in the expansion, in
ascending powers of x, of . [2]
Use this expansion to
estimate the value of
, correct to 3 decimal places, [2]
find the coefficient of
in the expansion
. [2]
(a)
(i) Obtain the expansion, in ascending powers of x, of . [3]
(ii) Hence find the coefficient of in the expansion of
[2]
(b) Find the term independent of x in the expansion of . [3]
(a) Find the term independent of x in the expansion of
. [4]
Expand
up to the term in x3. [ 4 ]
