Skip to content

Course home

Sign up

Binomial Expansion

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114
Question 45
a.

Verify that the first three terms in the binomial expansion of (1+3x)12\displaystyle (1 + 3x)^{\frac{1}{2}}(1+3x)21​ are 1+32x−98x2\displaystyle 1 + \frac{3}{2}x - \frac{9}{8}x^21+23​x−89​x2

[3]
b.

Verify that the expansion is valid for ∣x∣<13\displaystyle |x| < \frac{1}{3}∣x∣<31​

[1]
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