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1.7.1 Binomial expansion

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Question 80

The structural load L(w)L(w)L(w) of a specific beam under stress is modeled by the function L(w)=(5+3w)(2+kw)4L(w) = (5 + 3w)(2 + kw)^4L(w)=(5+3w)(2+kw)4, where www represents the deflection in millimetres and kkk is a stiffness constant.

a.

Find the first three terms, in ascending powers of www, of the binomial expansion of

(2+kw)4 (2 + kw)^4 (2+kw)4

where kkk is a constant. Give each term in its simplest form.

[3]
b.

Given that in the expansion of L(w)L(w)L(w) the coefficient of w2w^2w2 is 24, determine the possible values of the stiffness constant kkk.

[4]
Markscheme

1.7.1 Binomial expansion Questions

  1. A Level
  2. /Maths
  3. /1.7.1 Binomial expansion

144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.

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