Skip to content

Course home

Binomial Expansion

Binomial Expansion

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369
Question 171
a.

Show that 9+2x=9(1+29x)\displaystyle 9 + 2x = 9(1 + \frac{2}{9}x)9+2x=9(1+92​x).

[1]
b.

Hence find the first three terms of the expansion of (9+2x)−12\displaystyle (9 + 2x)^{-\frac{1}{2}}(9+2x)−21​ in ascending powers of xxx.

[3]
c.

The expansion of a+bx9+2x\displaystyle \frac{a + bx}{\sqrt{9 + 2x}}9+2x​a+bx​ is 3+x…3 + x \dots3+x… Find the values of the constants a a\,a and bbb.

[3]
Markscheme

Binomial Expansion Questions

  1. A Level
  2. /Maths
  3. /Binomial Expansion

409 exam-style questions on Edexcel A Level Maths Binomial Expansion, covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank