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Binomial Expansion

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Question 2
35%
a.

Expand (2+x)12\displaystyle (2+x)^{\frac{1}{2}}(2+x)21​ in ascending powers of x x\,x up to and including x3x^3x3.

[4]
b.

Write down the range of values of x x\,x for which the expansion is valid.

[1]
c.

Use your expansion, with x=0.5x=0.5x=0.5, to find an approximation of the value of 10\sqrt{10}10​. Give your answer to 3 decimal places.

[3]

Binomial Expansion Questions

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

Practise Edexcel A Level Maths Binomial Expansion with exam-style questions for A Level Maths. 115 questions covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank