Skip to content

Course home

Sign up

Binomial Expansion

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114
Question 87

The expansion of (9−4x)12\displaystyle (9 - 4x)^{\frac{1}{2}}(9−4x)21​ in ascending powers of x x\,x up to and including x3 x^3\,x3 is

3−23x−227x2−4243x3 3 - \frac{2}{3}x - \frac{2}{27}x^2 - \frac{4}{243}x^3 3−32​x−272​x2−2434​x3

Use this expansion, with a suitable value of xxx, to find the value of 8.8 \sqrt{8.8}\,8.8​ correct to 5 significant figures

[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