Skip to content

Course home

Sign up

Binomial Expansion

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286
Question 204
a.

Verify that the expansion of 1+2x3\sqrt[3]{1 + 2x}31+2x​ in ascending powers of x x\,x up to and including x3 x^3\,x3 is

1+23x−49x2+4081x3 1 + \frac{2}{3}x - \frac{4}{9}x^2 + \frac{40}{81}x^3 1+32​x−94​x2+8140​x3

and state the set of values of x x\,x for which the expansion is valid.

[5]
b.

Use your expansion to verify that 1.13\sqrt[3]{1.1}31.1​ is approximately 1.03228 to 5 decimal places.

[2]
Markscheme

Binomial Expansion Questions

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

408 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